Nonlinear Vibrations of Viscoelastic Plane Truss Under Harmonic Excitation

DOI10.1142/S0219455414500096zbMath1359.74221MaRDI QIDQ2972288

Andrew Y. T. Leung, Ping Zhu, Hong-Xiang Yang

Publication date: 7 April 2017

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

harmonic balance methodpolynomial homotopy continuationsnap-through phenomenonfractional Kelvin-Voigt modelviscoelastic truss

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fractional derivatives and integrals (26A33) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (5)

Parametric resonance of fractional multiple-degree-of-freedom damped beam systems ⋮ Hybrid Finite Element Method in Nonlinear Dynamic Analysis of Trusses ⋮ Asymmetric Solutions of SDOF System with Wire Rope Vibration Isolator Subjected to Harmonic Excitation ⋮ Multi-Level Residue Harmonic Balance Method for the Transmission Loss of a Nonlinearly Vibrating Perforated Panel ⋮ Viscoelasticity of fractional order: new restrictions on constitutive equations with applications

Cites Work

• Unnamed Item
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• An Introduction to Nonlinear Finite Element Analysis
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

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