ScholarLens Back to search
2007•Jixie qiangduRequires access

ANALYSIS ON PRIMARY RESONANT AND PRIMARY PARAMETRIC RESONANT OF HARMONICALLY DRIVEN ON WINKLER FOUNDATION IN TEMPERATURE FIELD

Lu Hai

Open publisher page 0 citations

Abstract

The response problem of a harmonically driven beam with respect to the influence of Winkler foundation in temperature field is considered. By applying elastic theory and Galerkin's method,the nonlinear dynamical equation is derived for a beam on Winkler foundation in temperature field,driven by vertical and horizontal harmonic excitations.By the method of multiple scales, the first approximation solutions for primary resonance and primary parametric resonance of the system are obtained.Then,it is followed by a detailed numerical analysis on influence of all kinds of parameters on the resonant responses of the system.

About this research paper

What this paper is about

The response problem of a harmonically driven beam with respect to the influence of Winkler foundation in temperature field is considered. By applying elastic theory and Galerkin's method,the nonlinear dynamical equation is derived for a beam on Winkler foundation in temperature field,driven by vertical and horizontal harmonic excitations.By the method of multiple scales, the first approximation solutions for primary resonance and primary parametric resonance of the system are obtained.Then,it is followed by a detailed numerical analysis on influence of all kinds of parameters on the resonant responses of the system.

Why it matters

A significance statement is not available in the OpenAlex record.

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

The response problem of a harmonically driven beam with respect to the influence of Winkler foundation in temperature field is considered. By applying elastic theory and Galerkin's method,the nonlinear dynamical equation is derived for a beam on Winkler foundation in temperature field,driven by vertical and horizontal harmonic excitations.By the method of multiple scales, the first approximation solutions for primary resonance and primary parametric resonance of the system are obtained.Then,it is followed by a detailed numerical analysis on influence of all kinds of parameters on the resonant responses of the system.

Key concepts: Galerkin method, Parametric statistics, Foundation (evidence), Beam (structure), Field (mathematics), Nonlinear system, Resonance (particle physics), Parametric oscillator

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
ANALYSIS ON PRIMARY RESONANT AND PRIMARY PARAMETRIC RESONANT OF HARMONICALLY DRIVEN ON WINKLER FOUNDATION IN TEMPERATURE FIELD — Research Paper | ScholarLens