2011•Key engineering materialsOpen access

Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Deterministic Excitation

Xiang Lan, Zhi Hua Feng, Hong Lin, Xiao Dong Zhu

Abstract

The nonlinear dynamic equation of a laminated beam subject to parametrically deterministic excitation is derived based on the general von Karman-type equations and the Reddy third-order shear deformation plate theory. The first mode parametric resonance is taken into consideration using Galerkin approach. The modulation equations are obtained with the method of multiple scales. The frequency-amplitude and force-amplitude characters are investigated. Results show that the nonlinear behaviors belong to hardening effect.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Galerkin method, Nonlinear system, Multiple-scale analysis, Excitation, Parametric statistics, Amplitude, Excited state, Beam (structure)