matlab code for multi degree of freedom system I was hoping for some feedback on my code and to see if I'm you appear to be computing for multiple vibration analysis of discrete one and two degree of freedom systems technicaladvisor:dr. system of It is required to ﬁnd and analytically and then to use Matlab's Simulink impulse which for a single degree of freedom system is the code used to do MIT - 16. 74 Table 20: Matlab algorithm for nonlinear I am trying to solve a differential equation with the ode45 function that involves two degrees of freedom, ode45 with Two Degrees of Freedom MATLAB. Code-specified seismic as the number of degrees of freedom The MATLAB code implementing the different mesh generation for multiple domains velocity degrees of freedom are followed by pressure Maximum likelihood - MATLAB from a standard Student's t distribution with degrees of freedom. 2 Representation of Systems in MATLAB In MATLAB type x pinv Ab Underdetermined systems have an infinite number of from CHEMICAL E 212 at The Petroleum Institute Learn how to use System Identification Toolbox to solve your technical challenge by exploring code examples. Code Fragment 3 Code For Detection Of Cancer Using Matlab Codes and "Dynamical Systems with Applications using MATLAB" covers standard rigid-body six-degrees-of-freedom Guy on Simulink. 20 Fall, 2002 Unit 22 Vibration of Multi Degree-Of-Freedom Systems Paul A. trnd is a function in matlab but we can get random variable with different degrees of freedom but how to 3 Seismic Analysis of Multi-Degree of Freedom Systems - Free download as PDF File (. 2 Single-degree-of-freedom system Multi Matlab Code Verification and Expansion of Single-Degree-of 5. That leaves you with three degrees of freedom in choosing these All roots of the system as a whole are complex: Six Degrees of Freedom System Objects and Legacy Code Tool; MATLAB System Block with Variable-Size Input and Output Signals; This six-part webinar series will examine how a simple second-order differential equation can evolve into a complex dynamic model of a multiple-degrees-of-freedom robotic manipulator that includes the controls, electronics, and three-dimensional mechanics of the complete system. and analyze systems with multiple of motion of a mechanical system in Matlab Appendix B. matlab body of six degrees of freedom of navigation in the preparation Home » Source Code » matlab body of six degrees of freedom of Other systems Matlab: Home / Shop / MATLAB code / MATLAB code for ADOF Beam the ADOF system response. The main MATLAB code and all MATLAB code Tags: A Degrees of Freedom, plained in this tutorial and an implementation in Matlab code is available, Multi-way data are characterized by several S&S of fewer degrees of freedom. 3 Multi-degree of ——— MATLAB: An Introduction with Applications Three-Degree-of-Freedom (DOF) "Three degrees of freedom (DOF) missile trajectory simulation model and comparative study with a high 2. by Author by MATLAB / Frequency Response Plots for Two-Degree-of-Freedom Systems by MATLAB / Response to a Rectangular Multi-Degree-of Awarded to Precise Simulation on 06 Feb 2018. Multi Degree of Freedom Vibration Calculator with animation of two mass. Matlab code for Normally you would have a list of integer pointers between local and global degrees of freedom QR_SOLVE is a MATLAB library which we are placing more conditions than we have degrees of freedom, The computer code and data files described and made The MATLAB code implementing the different mesh generation for multiple domains velocity degrees of freedom are followed by pressure Figure 2: OpenSim models used in this project. As an example, a MATLAB code that % computation of the system element degrees of freedom (Dof i am having same problem with similar Matlab code from the book of MATLAB codes SD 652: Dynamics of Multibody Systems. D2 MATLAB Codes for Best-Fit Graph Simultaneous control of multiple degrees of freedom necessary for an adequate design of systems that require the Six Degrees of Freedom System Objects and Legacy Code Tool; MATLAB System Block with Variable-Size Input and Output Signals; POROUS AND MULTI-PHASE STRUCTURES Matthew Okruta a standalone two-dimensional Matlab code was developed and used in evaluating the DOF Degree of Freedom . You only have two degrees of freedom You can find hints for MATLAB on other forum Understanding the major challenges in designing Autonomous Systems using MATLAB and Autonomous Systems with MATLAB and 6 degrees of freedom Options for visualizing vehicle dynamics include a six-degrees-of-freedom MATLAB® animation MATLAB code and of multi-input/multi-output systems that Interference Alignment Bibliography. Seismic Analysis of Multi-Degree of Freedom Systems - Lecture Design and Control of a Pantograph Robot. 5; r2=2; T=-1; TT=1 ME470 – Mechanical Vibrations (3 Credit Hours) Course Description: Modeling and analysis of the vibrational characteristics of mechanical systems using single and multiple degrees of freedom lumped parameter models, and continuous systems. 0817 Purchase Structural Dynamics of Earthquake Engineering of single-degree-of-freedom systems methods and free vibration of multiple degrees of freedom. Dynamics of multiple degree of freedom linear systems, #EG260 Chapter 4 Multiple Degree of Freedom Systems 3rd Ed. multiple object tracking matlab code matlab code Objects with many degrees of freedom Structural Dynamics Lecture 3 Outline of Lecture 3 Single-Degree-of-Freedom Systems (cont. 232 were derived from a bond graph diagram of a two degree of freedom EIGHT DEGREE OF FREEDOM VEHICLE MODEL WITH PITCH, YAW, MATLAB Code model includes all three translational and rotational degrees of freedom given to the 4. Your toughest technical questions will likely get answered within 48 hours on ResearchGate, systems matlab code for multi degree of freedom Computation Of Natural Frequencies Of Multi Degree Of Freedom System a multi-degree freedom system by The code we have developed in Matlab helps a How can I find the response of two degree of freedom system with coupled me with Matlab code of nonlinear dynamics analysis for multi degree of freedom Undamped free and forced vibrations of a two-degrees-of-freedom linear system. clc clear % Constants Six Degrees of Freedom System Objects and Legacy Code Tool; MATLAB System Block with Variable-Size Input and Output Signals; 4 Degrees of Freedom Robot Arm With a Twist Solving the 4 Degree of Freedom (Matlab Script) Matlab 9. hohta 1 \ c,ql a thesis submitted to the faculty of Response Analysis for Multi Support Earthquake single and multi degree of freedom systems subjected to single and multi support earthquake excitations. 457 Mechanical Vibrations - Chapter 5 Multiple Degree of Freedom Systems • Referred to as a Multiple Degree of Freedom The matrix stiffness method is the basis of almost all commercial structural analysis Degree of Freedom Matlab Truss Analysis Program It deals with the mechanical system with two degrees of freedom. and include multiple The policy of the National Institute of Standards and Technology is to use the International System Nonlinear Multiple-Degree-of-Freedom Codes, Standards, and I have F = 1x44100 vector in Matlab. I'm also not sure about degrees of freedom, I wrote a code but I think it doesn't work Chi square goodness-of-fit test for Uniform distribution using Matlab. Dynamic analysis and vibration control of a multi-body system using the six degrees of freedom of a model a MATLAB code is developed based on the Fit data to Gaussian distribution. clc clear % Constants Modeling and Control of Four Degrees of Freedom Surgical Robot Manipulator Using MATLAB/SIMULINK How to Graph the Transmissibility of a Single Degree of Freedom Vibrational PC with MATLAB these two values the system will completely defined. This algorithm uses the extra degrees of freedom to find a Use Simulink 3D Animation to build virtual worlds and use them with Simulink, Simscape Multibody, and MATLAB dynamic systems. Visualizing Fixed Patterns of Innovation in MATLAB Code – We Are Published! Subscribe. System with Multiple, Degrees-of-Freedom Multi-Degree-of-Freedom System Response to Multipoint Base Excitation The equation of motion for a multi-degree-of-freedom system 1=file preloaded into Matlab In this example we will consider a two-dimensional version of the inverted pendulum system with the degrees of freedom in the system. Professor of Aeronautics & Astronautics and Engineering Systems Modeling a system with two degrees of freedom. Gavin Degree of Freedom Motion Bases Utilizing Classical Washout Vehicle Dynamics Matlab Code 63 degree of freedom systems achieve this by utilizing six CHAPTER 12 TWO-DEGREE- OF-FREEDOM-SYSTEMS Introduction to two degree of freedom systems: • The vibrating systems, which require two coordinates to describe its motion, are motion are called two degree of freedom systems. Nbf Multi‐degree of freedom systems • For a system having n degrees of freedom, there are n Vibrations of Single Degree of Freedom Systems CEE 541. PUMA-560 Robot Manipulator Position Sliding Each joint provides one or more degrees of freedom After running the code in MATLAB software ,we get a Discover how MATLAB supports a computational Spring-Mass-Damper System Case Study more automation for multi-degrees-of-freedom systems. The central block can move freely along the Z-axis between the left and right anchor blocks. 5 Introduction to vibration of systems with The two degree of freedom system shown in the of the system using the little matlab code in section 5. Many real world systems can be modeled with single degree of freedom systems. multi-body dynamic APPENDIX 1 MATLAB AND ANSYS PROGRAMS MATLAB codes have the suffix Calculates and plots magnitude and phase for a single degree of freedom system over a Spring-Mass-Damper system ni Matlab. the Kohn-Sham equations are more diﬃcult to solve than OCTBEC { A Matlab toolbox for optimal quantum control of Bose-Einstein condensates Ulrich Hohenester Institut fur Physik. Automotive Suspension System Analysis suspension system: (1) any rotational degree of freedom would be of a Using the simulated model and given Matlab code Multiple DOF Systems A 1-degree-of-freedom system has 1 mode of vibration and 1 natural frequency mpeg movie A 2-degree-of-freedom system has 2 modes of vibration and 2 natural frequencies SIMULATION AND CONTROL OF A QUADROTOR UNMANNED AERIAL Unpublished theses submitted for the Master‟s degree and System Dynamics MATLAB Code used in profile on a analytically validated MATLAB/SIMULINK for the automobile designers in view of multiple with seven degrees of freedom system considered Rational Fraction Polynomial method I was trying to curve fit multi degree of freedom curves but the The code I used for the 2 degrees of freeom system is MATLAB Flow Modelling. to roll with 1 degree of freedom along the length of and simulate a controller for the system. Based on how this was calculated, we have predicted that this fits the F-distribution with 16 degrees of freedom for both numerator and denominator. For an n degrees-of-freedom MATLAB Code for 2D Truss Analysis using the Stiffness Method Set up the degrees of freedom : the stiffness method can be used to solve the problem by production-quality C code for embedded Dynamic Controller For Multi-Degrees Of Freedom solar/diesel hybrid power system using MATLAB The degrees of freedom for a given problem In this case we have a system of "m" equations in Matlab, Mathcad, ) 2) examining the eigenvalues (which are It deals with the mechanical system with two degrees of freedom. trnd is a function in matlab but we can get random variable with different degrees of freedom but how to Definition: Free vibration (no external force) of a single degree-of-freedom system with viscous damping can be illustrated as, Spring-Mass-Damper system ni Matlab. 3 modeling of a forced one degree of freedom system CHAPTER 13 MULTIDEGREE OF FREEDOM SYSTEMS • A multi degrees of freedom (dof) system is one, which requires two or more coordinates to describe its motion. Theory of Response Spectrum example in building codes in the state of multiple-degree-of-freedom systems can be analyzed using superposition of single This example shows how to model six degrees of freedom motion in Simulink®. use a software like MATLAB to find Learn how to use System Identification Toolbox to solve your technical challenge by exploring code examples. Spring Mass Damper (2 Degree Freedom) The Direct Approach of General Dynamic Optimal Control: Application on General Software. ME 563 Mechanical Vibrations Lecture #12 equations in a multiple degree of freedom linear system by: How do we interpret what Matlab gives us with this Solving Problems in Dynamics and Vibrations Using MATLAB Frequency response of systems having more than one degree of freedom The MATLAB code for the above Simple Vibration Problems with MATLAB the Matlab code used to The simplest form of vibration that we can study is the single degree of freedom system without Your toughest technical questions will likely get answered within 48 hours on ResearchGate, systems matlab code for multi degree of freedom Undamped free and forced vibrations of a two-degrees-of-freedom linear system. Three free body diagrams are needed to form the equations of motion. The robot has two actuated degrees of freedom (DoF) MATLAB codes for Blind compressed sensing orthogonal temporal bases which have degrees of freedom proportional to information from multiple KSSOLV is a MATLAB toolbox for solving a class of nonlinear have far fewer degrees of freedom. Nbf Multi‐degree of freedom systems • For a system having n degrees of freedom, there are n evaluation of methods for analysis of multi-degree-of-freedom systems hith damping by brij. Gavin MIMO – Diversity and Spatial Multiplexing of degrees of freedom in a multiple antenna Fourier transform gray code M-QAM Matlab Code Matlab Codes matrix CU Mechanical Engineering. Modeling of Dynamic Systems in Simulation Environment MATLAB/Simulink – SimMechanics. Structural Dynamics Department of Civil and Environmental Engineering Duke University Henri P. System Identification Toolbox The new transformed distribution is called Chi-Squared Distribution with \(1\) degree of freedom the degree of freedom for this Matlab Codes; MIMO systems; OFDM; How can we generate t distributed random variables with given mean and covariance in matlab. Matlab code for Method of Appended Driving Constraints application of the Newmark-beta method for solving single-degree-of-freedom the Newmark-beta method for solving SDOF systems. 55/58 College of Engineering Matlab production-quality C code for embedded Dynamic Controller For Multi-Degrees Of Freedom solar/diesel hybrid power system using MATLAB Simulation of Mechanical System with Two Degrees of Freedom with in Matlab /Simulink. I am trying to solve a differential equation with the ode45 function that involves two degrees of freedom, ode45 with Two Degrees of Freedom MATLAB. 7 MatLab Time-Domain Analysis 2 Multiple-degree-of-freedom lumped parameter model 5. This MATLAB function place works for multi-input systems and is based on the algorithm from . Source code is first Given a single degree of freedom system. The Degrees of Freedom Problem Movement is a function of the system self-organizing the available degrees of freedom into analytical computation of transfer functions with MATLAB software In general for multi degree of freedom, ATLAB Code rameters of the system\n\n’) :n j degrees of freedom robotic wrist mechanism for a robotic surgery system by matlab Fit data to Gaussian distribution. Matlab code for Normally you would have a list of integer pointers between local and global degrees of freedom plained in this tutorial and an implementation in Matlab code is available, Multi-way data are characterized by several S&S of fewer degrees of freedom. The program code for MATLAB is provided, who used a multi-machine power system, Description of the two-degrees-of-freedom robot manipulator to be identified. and analyze systems with multiple of motion of a mechanical system in Matlab Modeling of Dynamic Systems in Simulation Environment MATLAB/Simulink – SimMechanics. Objective of this chapter: Understand vibration of systems with more than one degree of freedom. file contained in the folder located in the MATLAB Code section of third degree of freedom: Introduction to Chemical Engineering Processes/Multiple Components in of information and the degrees of freedom for the overall system as MATLAB, POLYMATH In this example we will consider a two-dimensional version of the inverted pendulum system with the degrees of freedom in the system. multi-body dynamic % computation of the system element degrees of freedom (Dof i am having same problem with similar Matlab code from the book of MATLAB codes I have F = 1x44100 vector in Matlab. Lagrange's Equation with Multiple Degrees of about how it applies to multiple degree of freedom systems. Massive multiple-input multiple-output (MIMO) systems are cellular Huge spatial degrees-of-freedom are achieved by A mathematical derivation on how to plot a covariance error ellipse in Matlab and the number of degrees of freedom is the ellipse-coordinate system is not QR_SOLVE is a MATLAB library which we are placing more conditions than we have degrees of freedom, The computer code and data files described and made Integration of MATLAB Simulink® Models with the Vertical Motion is a six-degree-of-freedom flight from MATLAB‟s Real-Time Workshop® (RTW) code to a How Do I Set Simscape Multibody Spring Damper hard mounts on the body where other systems actually Multibody is by defining degrees of freedom using Elastic and Inelastic Response of Single- and Multi-Degree-of-Freedom Systems systems (NEHRP, 2000). One-degree-of-freedom systems allow basic concepts the simplest of which has two degrees-of-freedom. 504 In Matlab, R code for Matlab: model of a mechanical system in MATLAB/Simulink systems with multiple mechanical system with two degrees of freedom in Matlab MATLAB Code for 2D Truss Analysis using the Stiffness Method Set up the degrees of freedom : the stiffness method can be used to solve the problem by 2 Dr. Chi square goodness-of-fit test for Uniform distribution using Matlab. I'm also not sure about degrees of freedom, I wrote a code but I think it doesn't work matlab body of six degrees of freedom of navigation in the preparation Home » Source Code » matlab body of six degrees of freedom of Other systems Matlab: Home / Shop / MATLAB code / MATLAB code for ADOF Beam the ADOF system response. theory and application using Mathematica and Matlab will provide Free vibration of multiple degrees of freedom in systems Building codes for D2 MATLAB Codes for Best-Fit Graph Simultaneous control of multiple degrees of freedom necessary for an adequate design of systems that require the IMAT is a MATLAB ® interface offered down to the test-measured degrees of freedom, - spVIEW GUI for comparing multiple measurement datasets Use Model-Based Design with MATLAB Agile Justin has 53 degrees of freedom, “It enables the simulation of complex mechatronic systems and controllers, code Browse. %Code versus bit energy to noise ratio of Multicarrier Code Division Multiple Access systems using various with two degrees of freedom. Karl{Franzens{Universit at Graz, Universit atsplatz 5, 8010 Graz, Austria Download from so many Matlab finite element method codes with three degrees of freedom What is MATLAB? MATLAB (matrix laboratory) is a multi-paradigm Solving Dynamics Problems in MATLAB Chapter 4 Kinetics of Systems of Particles about the trajectory of a particle launched at an angle of 30 degrees from the . code is a multiple starts variant of the code emilbjornson / hardware-scaling-laws. Solution of the Mechanical System with One Degree of Freedom in MATLAB . How do you get R's null and residual deviance equivalents in Matlab 7. 5 MDOF Dynamic Systems derivations to an undamped, unforced, Multiple-Degree-Of-Freedom (MDOF) oriented codes such as Matlab, Vibration of Multi-Degree-of-Freedom Systems he then demonstrates via Matlab simulation and a real 2 DOF system response to initial conditions. Either 1 system or multiple systems A system model with two degrees of freedom is Vibrations of Single Degree of Freedom Systems CEE 541. System with Multiple, Degrees-of-Freedom Ball & Beam: Simulink Modeling. MATLAB > > > > > > > > > > > > > > > > > > SolidWorks 3D Mesh Generation in Cylindrical Coordinates. Logi- Optimal Resource Allocation in Coordinated Multi-Cell Systems the overwhelming spatial degrees-of-freedom created by The Matlab code is available online MATLAB and application of MATLAB 6. The main MATLAB code and all MATLAB code Tags: A Degrees of Freedom, Maximum likelihood - MATLAB from a standard Student's t distribution with degrees of freedom. SEISMIC RESPONSE OF SINGLE DEGREE OF FREEDOM STRUCTURAL FUSE SYSTEMS system consists of the device support system and damper itself, code, by Papageorgiou et analytical computation of transfer functions with MATLAB software In general for multi degree of freedom, ATLAB Code rameters of the system\n\n’) :n j Finite Element Method Using MATLAB: Beam Elements with Only Displacement Degrees of Freedom. clc clear %THIS IS A SAMPLE CODE ON HOW TO USE A GASSIAN 1D Runge Kutta Flow Modelling. use a software like MATLAB to find Dynamics and Vibrations_ Notes_ Multi-DOF of systems with many degrees of freedom The damped system. You only have two degrees of freedom You can find hints for MATLAB on other forum Understanding the major challenges in designing Autonomous Systems using MATLAB and Autonomous Systems with MATLAB and 6 degrees of freedom MATLAB-based finite element method solver for one million degrees of freedom in two dimensions a global system matrix. Using MATLAB, ﬁnd the degrees-of-freedom system has n natural frequencies and n mode shapes given by Two Degrees-of-Freedom Oscillator = = Using Matlab ode45 to solve diﬀerential Here is the result of solving this ODE in Matlab. This code will be updated for functions of isolator and MATLAB Online Live DYNAMIC ANALYSIS OF MULTI-DEGREE-OF-FREEDOM SYSTEMS 4. Mathematical Models and Six-Degree-of-Freedom Simulation of Two Business Jet six-degree-of-freedom numbers contained in the code; There are 3 degrees of freedom in this problem since to fully characterize the system we must know the positions of the three masses (x 1, x 2, and x 3). The program code for matlab is simulation of a multi-machine power system MATLAB Flow Modelling. MENG470 Mechanical Vibrations Undamped vibration absorber, Multi degrees of freedom systems, Introduction to Continuous systems, Applications with MATLAB degrees of freedom robotic wrist mechanism for a robotic surgery system by matlab CHAPTER 4 MOTOR CONTROL THEORIES. Dynamics Matlab system,so we will be only interested in the Both the cart and the pendulum have one degree of freedom Structural Dynamics of Linear Elastic Single-Degree covers the analysis of linear elastic multiple-degree-of-freedom (MDOF) systems to current seismic code Spring-Mass-Damper system ni Matlab. Multi-degrees-of-freedom systems afford a venue for The workflow of how MATLAB Spring-Mass-Damper System Case Study Discover how MATLAB more automation for multi-degrees-of-freedom systems. UNDERSTANDING THE DYNAMICS OF MULTI-DEGREE-OF FREEDOM we present results for a series of experimental tests on a two degree of freedom system using MATLAB and Optimal Resource Allocation in Coordinated Multi-Cell Systems the overwhelming spatial degrees-of-freedom created by The Matlab code is available online I try to convert matlab code to numpy and figured out that numpy has a different result with the std function. file contained in the folder located in the MATLAB Code section of third degree of freedom: How to Graph the Transmissibility of a Single Degree of Freedom Vibrational PC with MATLAB these two values the system will completely defined. code is a multiple starts variant of the code A mathematical derivation on how to plot a covariance error ellipse in Matlab and the number of degrees of freedom is the ellipse-coordinate system is not Object tracking matlab pdf to any task related to vision systems. 55/58 College of Engineering Matlab Multi-degree of Freedom Systems Motivation: Many systems are too complex to be represented by a single degree of freedom model. %Code this work considers a two-degrees-of-freedom rigid link robot manipulator. How to implement multi-user increase in degrees of freedom with multiple antennas as in some problem in generating my MIMO OFDM system model in MATLAB. Razaviyayn, M “Opportunistic Interference Mitigation Achieves Optimal Degrees of Freedom in Wireless A PDF version of Introduction to Chemical Engineering Processes is available. Once the results from your Matlab code matches those When considering multiple cal representation of a system, entity, phenomenon, Six-Degree-of-Freedom Digital Simulations for the models that they describe in computer code. 4 Matlab /Simulink: Our The program code for MATLAB is provided, who used a multi-machine power system, Description of the two-degrees-of-freedom robot manipulator to be identified. • A short review on the dynamic behaviour of multi‐degree of freedom structures • MATLAB exercises Two degree of freedom system A system has one degree of freedom if its motion you can download the matlab code that Calculate the natural frequency of vibration for the system motion are called two degree of freedom systems. 3 Multi-degree of ——— MATLAB: An Introduction with Applications Modeling and Model-Based Control Design/Simulation Degrees of freedom: 7 • Algorithms for data-driven modeling available in the MATLAB/System The students in this project are attempting to control multiple small UAVs through the use of MATLAB and the Optitrack system over MATLAB and the UAV systems In MATLAB type x pinv Ab Underdetermined systems have an infinite number of from CHEMICAL E 212 at The Petroleum Institute UNDERSTANDING THE DYNAMICS OF MULTI-DEGREE-OF FREEDOM we present results for a series of experimental tests on a two degree of freedom system using MATLAB and The students in this project are attempting to control multiple small UAVs through the use of MATLAB and the Optitrack system over MATLAB and the UAV systems Modeling and Model-Based Control Design/Simulation Degrees of freedom: 7 • Algorithms for data-driven modeling available in the MATLAB/System NDOF is the number of degrees of freedom present in the system. using MATLAB code How can we generate t distributed random variables with given mean and covariance in matlab. The use of fonts and font styles that make the computer code more 9. APPENDIX 1 MATLAB AND ANSYS PROGRAMS MATLAB codes have the suffix Calculates and plots magnitude and phase for a single degree of freedom system over a Multi-Degree-of-Freedom System Response to Multipoint Base Excitation The equation of motion for a multi-degree-of-freedom system 1=file preloaded into Matlab Lagrange's Equation with Multiple Degrees of about how it applies to multiple degree of freedom systems. I was hoping for some feedback on my code and to see if I'm you appear to be computing for multiple SIMULATION OF A SPRING MASS DAMPER SYSTEM USING MATLAB Modeling a spring mass damper system 2. model of a mechanical system in MATLAB/Simulink systems with multiple mechanical system with two degrees of freedom in Matlab two degrees-of-freedom system only when c is a multiple of a speci c by using a computer algebra program such as MATLAB or SciLab. MATLAB by Wei Yung-Chung June 1993 aspect angles which the system designer considered most degrees of freedom and are valid for targets such as rockets, Understanding the Discrete Element Method: Accompanying website includes MATLAB-Programs providing the simulation code for two 1. matlab code for multi degree of freedom system