A numerical method of calculating first and second derivatives of dynamic response based on Gauss precise time step integration method

DOI10.1016/j.euromechsol.2009.11.006zbMath1480.74295OpenAlexW1989789015MaRDI QIDQ2034293

Liubin Yan, Jing Zhang, Qimao Liu

Publication date: 21 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2009.11.006

zbMATH Keywords

sensitivity analysisdirect differentiationHessian matrixfirst derivativesecond derivativeGauss time step integration method

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods applied to problems in solid mechanics (74S20) Numerical differentiation (65D25)

Related Items (4)

A modified precise integration method based on Magnus expansion for transient response analysis of time varying dynamical structure ⋮ A new method for reliability-based sensitivity analysis of dynamic random systems ⋮ Research of Precise Time Integration Method and its Derived Formats on Helicopter Rotor Dynamics ⋮ Computation of Gram matrix and its partial derivative using precise integration method for linear time-invariant systems

Uses Software

• JIFEX

Cites Work

• Efficient design sensitivities of structures subjected to dynamic loading
• Review of options for structural design sensitivity analysis. I: Linear systems
• Variational principle for shape design sensitivity analysis
• Accurate computation of design sensitivities for structures under transient dynamic loads with constraints on stresses
• Structural design optimization on thermally induced vibration
• Accurate computation of design derivatives for plates and shells under transient dynamic loads

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