Two-step recursive method for dynamic response computation based on principle of minimum transformed energy

Dajun Li; Tielin Liu; Dongyue Li

doi:10.1117/12.775677

18 April 2008 Two-step recursive method for dynamic response computation based on principle of minimum transformed energy

Dajun Li, Tielin Liu, Dongyue Li

Author Affiliations +

Proceedings Volume 6928, Active and Passive Smart Structures and Integrated Systems 2008; 692817 (2008) https://doi.org/10.1117/12.775677
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2008, San Diego, California, United States

Abstract

A fourth-order accurate method is presented for the computation of dynamic response in the field of structural vibration. Based on Benthien-Gurtin's principle of minimum transformed energy in linear elastodynamics in Laplace space, functional in the form of single convolution integral is obtained by restoring the functional in the Laplace space back into the original space. Based on the functional after spatial discretization, five-order Hermite interpolation functions are adopted to approximate the nodal displacement in local time domain. A unconditionally stable two-step recursive method is presented after the variational operation. The value of parameter θ is selected according to the unconditionally stable analysis. Accuracy analyses and examples show that the algorithm is a higher accurate method. The method provided an useful tool with simple code and easy implementation for the investigations of dynamic response computations in practical engineering.

Citation Download Citation

Dajun Li, Tielin Liu, and Dongyue Li "Two-step recursive method for dynamic response computation based on principle of minimum transformed energy", Proc. SPIE 6928, Active and Passive Smart Structures and Integrated Systems 2008, 692817 (18 April 2008); https://doi.org/10.1117/12.775677

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