Design sensitivity analysis of nonlinear dynamic response of structural and mechanical systems

1992 ◽  
Vol 4 (1) ◽  
pp. 37-46 ◽  
Author(s):  
J. B. Cardoso ◽  
J. S. Arora
Keyword(s):  
Sensitivity Analysis ◽  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Mechanical Systems ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Nonlinear Dynamic Response

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.

Dynamic Response Optimization of Mechanical Systems With Multiplier Methods

1989 ◽  
Vol 111 (1) ◽  
pp. 73-80 ◽  
Author(s):  
J. K. Paeng ◽  
J. S. Arora
Keyword(s):  
Sensitivity Analysis ◽  
Dynamic Response ◽  
Large Scale ◽  
Unconstrained Minimization ◽  
Design Sensitivity ◽  
Computational Effort ◽  
Design Sensitivity Analysis ◽  
Multiplier Methods ◽  
Dynamic Response Optimization ◽  
Response Optimization

A basic hypothesis of this paper is that the multiplier methods can be effective and efficient for dynamic response optimization of large scale systems. The methods have been previously shown to be inefficient compared to the primal methods for static response applications. However, they can be more efficient for dynamic response applications because they collapse all time-dependent constraints and the cost function to one functional. This can result in substantial savings in the computational effort during design sensitivity analysis. To investigate this hypothesis, an augmented functional for the dynamic response optimization problem is defined. Design sensitivity analysis for the functional is developed and three example problems are solved to investigate computational aspects of the multiplier methods. It is concluded that multiplier methods can be effective for dynamic response problems but need numerical refinements to avoid convergence difficulties in unconstrained minimization.

Analysis and Optimal Design of Spatial Mechanical Systems

1990 ◽  
Vol 112 (2) ◽  
pp. 200-207 ◽  
Author(s):  
H. Ashrafiuon ◽  
N. K. Mani
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Design Sensitivity ◽  
General Purpose ◽  
Design Sensitivity Analysis ◽  
Sensitivity Analyses ◽  
Spatial Systems ◽  
Spatial System

This paper presents a new approach to optimal design of large multibody spatial mechanical systems which takes advantage of both numerical analysis and symbolic computing. 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 a velocity transformation matrix. Design sensitivity analysis is carried out using the direct differentiation method applied to the relative joint coordinate formulation for spatial systems. The symbolic manipulation program MACSYMA is used to automatically generate the necessary equations for both dynamic and design sensitivity analyses for any spatial system. The symbolic equations are written as FORTRAN statements that are linked to a general purpose computer program which performs dynamic analysis, design sensitivity analysis, and optimization, using numerical techniques. Examples are presented to demonstrate reliability and efficiency of this approach.

A parametric study on the nonlinear dynamic response of paper-based mechanical systems due to liquid transport

2020 ◽  
Vol 118 ◽  
pp. 103280
Author(s):  
Isaias Cueva-Perez ◽  
Angel Perez-Cruz ◽  
Ion Stiharu ◽  
Aurelio Dominguez-Gonzalez ◽  
Miguel Trejo-Hernandez ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Parametric Study ◽  
Nonlinear Dynamic ◽  
Mechanical Systems ◽  
Nonlinear Dynamic Response ◽  
Liquid Transport
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