Nonlinear vibration of nonlocal four-variable graded plates with porosities implementing homotopy perturbation and Hamiltonian methods
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Publication:1703780
DOI10.1007/s00707-017-1952-yzbMath1381.74100OpenAlexW2762033432MaRDI QIDQ1703780
Hossein Shahverdi, Mohammad Reza Barati
Publication date: 7 March 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-017-1952-y
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)
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Cites Work
- A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment
- Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity
- Hamiltonian approach to nonlinear oscillators
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
- Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories
- Vibration analysis of a single-layered graphene sheet-based mass sensor using the Galerkin strip distributed transfer function method
- Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin-Voigt viscoelastic nanoplate and two piezoelectric layers
- Vibration analysis of viscoelastic inhomogeneous nanobeams resting on a viscoelastic foundation based on nonlocal strain gradient theory incorporating surface and thermal effects
- A semi-analytical method for nonlocal buckling and vibration of a single-layered graphene sheet nanomechanical resonator subjected to initial in-plane loads
- Variational approach for nonlinear oscillators
- On nonlocal elasticity
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