Eipakchi, Hamidreza and Nasrekani, Farid M. (2024) Nonlinear response and resonance analysis of beam with non - uniform cross-section under harmonic and impulse excitations: an analytical approach. Acta Mechanica, NA . NA. ISSN 0001-5970
Full text not available from this repository.Abstract
An analytical solution for the nonlinear transverse and axial responses of an elastic beam with a non-uniform cross-section subjected to harmonic and impulse excitations is presented by employing the multiple-scale method. Due to the moderately large deformation assumption, the geometrical nonlinearity effect is considered although the constitutive equations are linear. The equations of motion which are a system of coupled nonlinear partial differential equations with variable coefficients are obtained using the Hamilton principle and by considering the first-order shear deformation theory and the nonlinear von Karman relations. Both the in-plane and transverse accelerations are considered in the formulation and the relations between nonlinear frequencies and phases with the amplitudes of the axial and transverse displacements are determined. A parametric study is conducted to study the effect of geometrical parameters on the beam's nonlinear response and resonance behavior. To investigate the accuracy and precision of the obtained results, a comparison with the finite element results is performed.
| Item Type: | Journal Article |
|---|---|
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) T Technology > TG Bridge engineering T Technology > TJ Mechanical engineering and machinery |
| Divisions: | School of Information Technology, Engineering, Mathematics and Physics (STEMP) |
| Depositing User: | Farid Nasrekani |
| Date Deposited: | 15 Feb 2024 00:06 |
| Last Modified: | 15 Feb 2024 00:06 |
| URI: | https://repository.usp.ac.fj/id/eprint/14437 |
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