Hamiltonian direct differentiation and adjoint approaches for multibody system sensitivity analysis

2020 ◽  
Vol 121 (22) ◽  
pp. 5082-5100
Author(s):  
Paweł Maciąg ◽  
Paweł Malczyk ◽  
Janusz Frączek
Keyword(s):  
Sensitivity Analysis ◽  
Multibody System ◽  
System Sensitivity ◽  
Direct Differentiation

Direct Differentiation Methods for the Design Sensitivity of Multibody Dynamic Systems

1996 ◽  
Author(s):  
Radu Serban ◽  
Jeffrey S. Freeman
Keyword(s):  
Sensitivity Analysis ◽  
Dynamic Systems ◽  
Design Sensitivity ◽  
Differential Algebraic Equations ◽  
Mechanism Analysis ◽  
Algebraic Equations ◽  
First Order ◽  
Direct Differentiation ◽  
Multibody Dynamic ◽  
Standard Techniques

Abstract Methods for formulating the first-order design sensitivity of multibody systems by direct differentiation are presented. These types of systems, when formulated by Euler-Lagrange techniques, are representable using differential-algebraic equations (DAE). The sensitivity analysis methods presented also result in systems of DAE’s which can be solved using standard techniques. Problems with previous direct differentiation sensitivity analysis derivations are highlighted, since they do not result in valid systems of DAE’s. This is shown using the simple pendulum example, which can be analyzed in both ODE and DAE form. Finally, a slider-crank example is used to show application of the method to mechanism analysis.

Sign in / Sign up

Export Citation Format

Share Document