An efficient algorithm for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects

DOI10.1007/s00466-012-0829-0zbMath1282.74104OpenAlexW2009799307MaRDI QIDQ364102

W. P. Howson, F. W. Williams, Feng Wu, Wei-An Yao, Wan-xie Zhong, Hong-Wu Zhang, Jia-Hao Lin, Qiang Gao

Publication date: 5 September 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-012-0829-0

zbMATH Keywords

periodic structuresexponential of a matrixprecise integration methoddynamic responses

Mathematics Subject Classification ID

Related Items (1)

Dislocation singularities in layered magneto-electro-elastic plates

Uses Software

• RODAS

Cites Work

• High frequency homogenization for structural mechanics
• On precise integration method.
• Multi-mode propagation and diffusion in structures through finite elements
• A transfer matrix analysis of the energetics of structural wave motion and harmonic vibration
• Solving Ordinary Differential Equations I
• Transfer matrix analysis of the elastostatics of one-dimensional repetitive structures
• Dynamic analysis of periodic structures
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Solving Ordinary Differential Equations II
• Geometric Numerical Integration

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