Dynamic Analysis and Design of Constrained Mechanical Systems

A method for formulating and automatically integrating the equations of motion of quite general constrained dynamic systems is presented. Design sensitivity analysis is also carried out using a state space method that has been used extensively in structural design optimization. Both dynamic analysis...

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Bibliographic Details
Main Authors: Haug, Edward J, Wehage, Roger A, Beck, Ronald R, Barman, N C
Format: Report
Language:English
Subjects:
ADAMS(AUTOMATIC DYNAMIC ANALYSIS OF MECHANICAL SYSTEMS)
ALGEBRA
CAMS
COEFFICIENTS
COMPUTATIONS
Computer Programming and Software
COMPUTER PROGRAMS
CONSTRAINED MECHANICAL SYSTEMS
CRANKSHAFTS
DADS(DYNAMIC ANALYSIS AND DESIGN SYSTEM) COMPUTER PROGRAM
DAMPING
DYNAMIC RESPONSE
EQUATIONS OF MOTION
FLOW CHARTING
JOINTS
LAGRANGIAN FUNCTIONS
LINKAGES
Machinery and Tools
MECHANICAL COMPONENTS
Mechanics
NUMERICAL INTEGRATION
OPTIMIZATION
PLANAR STRUCTURES
SENSITIVITY
SLIDER CRANK MECHANISMS
SPARSE MATRIX
SPRINGS
STIFFNESS
STRAIN(MECHANICS)
Theoretical Mathematics
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Description
Summary:A method for formulating and automatically integrating the equations of motion of quite general constrained dynamic systems is presented. Design sensitivity analysis is also carried out using a state space method that has been used extensively in structural design optimization. Both dynamic analysis and design sensitivity analysis and optimization are shown to be well-suited to application of efficient sparse matrix computational methods. Numerical integration is carried out using a stiff numerical integration method that treats mixed systems of differential and algebraic equations. A computer code that implements the method of planar systems is outlined and a numerical example is treated. The dynamic response of a classical slider-crank is analyzed and its design is optimized.