Symbolic computer language for multibody systems
نویسندگان
چکیده
منابع مشابه
Symbolic Computer Language for Multibody Systems
Methods are developed for describing and manipulating symbolic data objects that are useful for analyzing the kinematics and dynamics of multibody systems. These symbolic objects include 1) vector/dyadic algebraic expressions, 2) physical components in a multibody system, and 3) program structures needed in a numerical simulation code. A computer algebra language based on these methods encourag...
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A multibody formalism is presented that can be applied to automatically generate efficient equations of motion for a system of rigid bodies in a tree topology. The formalism is built on Kane's analysis method and is described using vector/dyadic notation. In addition to defining a way to formulate equations of motion, it specifies many details of the analysis that have formerly involved judgmen...
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The symbolic-numeric computing described here consists of an extensive symbolic pre-processing of systems of differential-algebraic equations (DAE), followed by the numerical integration of the system obtained. The application area is multibody dynamics. We deal symbolically with a DAE system using differentiation and elimination methods to find all the hidden constraints, and produce a system ...
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Symbolic Lagrangian formulations of the equations of motion of tree structured constrained mechanical systems have the potential to be both more efficient and more numerically robust than formulations which use nonlinear kinematic constraint equations. We derive a simple recursive factorization of the Lagrangian equations of motion which, along with our extended implementation of the D* symboli...
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The algorithms to set up the equations of motion symbolically for both rigid and elastic multibody systems are presented. In the described program Neweul-M which is using the power of Matlab and Maple, the modeling approach with commands and a graphical user interface are discussed as well as an overview of possibilities for system analysis, control design and optimization is given. A double pe...
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ژورنال
عنوان ژورنال: Journal of Guidance, Control, and Dynamics
سال: 1991
ISSN: 0731-5090,1533-3884
DOI: 10.2514/3.20770