Meshfree analysis and design sensitivity analysis for shell structures

2002 ◽  
Vol 53 (9) ◽  
pp. 2087-2116 ◽  
Author(s):  
Nam Ho Kim ◽  
Kyung Kook Choi ◽  
Jiun-Shyan Chen ◽  
Mark E. Botkin
Keyword(s):  
Sensitivity Analysis ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Shell Structures ◽  
Analysis And Design ◽  
Meshfree Analysis

Analysis and Optimal Design of Spatial Mechanical Systems

1987 ◽  
Author(s):  
H. Ashrafeiuon ◽  
N. K. Mani
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Dynamic Analysis ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Design Sensitivity ◽  
General Purpose ◽  
Design Sensitivity Analysis ◽  
Analysis And Design ◽  
Spatial Systems

Abstract This paper presents a new approach to optimal design of large multibody spatial mechanical systems. This approach uses symbolic computing to generate the necessary equations for dynamic analysis and design sensitivity analysis. Identification of system topology is carried out using graph theory. The equations of motion are formulated in terms of relative joint coordinates through the use of velocity transformation matrix. Design sensitivity analysis is carried out using the Direct Differentiation method applied to the relative joint coordinate formulation for spatial systems. Symbolic manipulation programs are used to develop subroutines which provide information for dynamic and design sensitivity analysis. These subroutines are linked to a general purpose computer program which performs dynamic analysis, design sensitivity analysis, and optimization. An example is presented to demonstrate the efficiency of the approach.

Design Sensitivity Analysis of Planar Mechanism and Machine Dynamics

1981 ◽  
Vol 103 (3) ◽  
pp. 560-570 ◽  
Author(s):  
E. J. Haug ◽  
R. Wehage ◽  
N. C. Barman
Keyword(s):  
Sensitivity Analysis ◽  
Equations Of Motion ◽  
Computer Code ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Algebraic Equations ◽  
Analysis And Design ◽  
Structural Design Optimization ◽  
Mixed Systems ◽  
Crank Mechanism

A method of formulating and automatically integrating the equations of motion of quite general constrained dynamic systems is presented. Design sensitivity analysis is carried out using a state space adjoint variable method that has been employed extensively in optimal control and structural design optimization. Both dynamic analysis and design sensitivity analysis formulations are automated and numerical solution of state and adjoint differential equations are carried out using a stiff numerical integration method that treats mixed systems of differential and algebraic equations. A computer code that implements the method is applied to two numerical examples. The first example concerns a relatively simple slider-crank mechanism. The second example treats a more complex agricultural trip plow that undergoes intermittent motion.

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