Configuration design sensitivity analysis of dynamics for constrained mechanical systems

Kim, H.W.; Bae, Dong‐Sik; Choi, Kyung K.

doi:10.1016/s0045-7825(00)00372-8

Computer Methods in Applied Mechanics and Engineering

2001

DOI: 10.1016/s0045-7825(00)00372-8

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Configuration design sensitivity analysis of dynamics for constrained mechanical systems

H.W. Kim

Dong‐Sik Bae

Kyung K. Choi

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Cited by 12 publications

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“…However, there are only few publications on the DSA for explicit dynamics, among them [5,6,17], and none of them is devoted to shells. In the conference note [25] there are a few remarks on shells.…”

mentioning

confidence: 99%

Analytical DSA for Explicit Dynamics of Elastic-plastic Shells

Wisniewski¹,

Kowalczyk²,

Turska³

2006

Comput Mech

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The paper presents an analytical constitutive design sensitivity analysis (DSA) algorithm for explicit dynamics of elastic-plastic finite rotation shells. Two explicit dynamical algorithms for finite rotation shells are presented, and the DSA is developed for the one formulated in terms of the rotation vector and its time derivatives, ψ,ψ,ψ . The hypo-elastic constitutive model based on the GreenMcInnis-Naghdi stress rate is used to derive an incremental algorithm in terms of 'back-rotated' objects. The associative deviatoric Huber-Mises plasticity modified by plane stress conditions is implemented in the form suitable for finite rotation/small elastic strain increments. The analytical DSA is developed for the above-specified problem, with the design derivatives calculated w.r.t. material parameters. Designdifferentiation of the dynamic algorithm and the scheme of handling the history data and the predicted values in differentiation, which is crucial in computing correct derivatives, are described. Besides, we show how to avoid Newton loops in the DSA algorithm, when such a loop is present in the constitutive algorithm. Numerical examples show that, despite a great complexity of the solution algorithm for the finite-rotation elastic-plastic shells, it is feasible to compute analytical design derivatives of very good accuracy.

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mentioning

confidence: 99%

Analytical DSA for Explicit Dynamics of Elastic-plastic Shells

Wisniewski¹,

Kowalczyk²,

Turska³

2006

Comput Mech

View full text Add to dashboard Cite

show abstract

Simulation and experimental methods for media transport system: Part I, Three-dimensional sheet modeling using relative coordinate

et al. 2005

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An implementation of direct linear equation solver using a many-core CPU for mechanical dynamic analysis

Jung

Bae

2017

J Mech Sci Technol

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Configuration design sensitivity analysis of dynamics for constrained mechanical systems

Cited by 12 publications

References 8 publications

Analytical DSA for Explicit Dynamics of Elastic-plastic Shells

Analytical DSA for Explicit Dynamics of Elastic-plastic Shells

Simulation and experimental methods for media transport system: Part I, Three-dimensional sheet modeling using relative coordinate

An implementation of direct linear equation solver using a many-core CPU for mechanical dynamic analysis

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