非线性弹性梁在谐波激励下的次谐和超次谐响应

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基金项目: 国家自然科学基金(19672038)

Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation

Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P R China

摘要: 本文研究受横向周期载荷作用的梁的动力响应,梁的本构关系具有三次非线性项。轴向载荷作用下已屈曲的梁受到横向激励后,谐波是不稳定的,将分叉出次谐波、超次谐波,以Melnikov法确定了次谐轨道、超次谐轨道产生的条件。
- 非线性 /
- 动力系统 /
- 分岔
Abstract: In this paper the dynamics response of beams subjected to transverse harmonic excitation is studied.The nonlinearity of constitutive relations of the beam material is considered.When the buckled beams compressed by axial forces are subjected to transverse period perturbation,the harmonic bifurcates into subharmonic and ultra-subharmonic sequences.The critical conditions for subharmonic and ultra-subharmonic orbits are determined by use of Melnikov method.
- nonlinear /
- dynamic system /
- bifurcation

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