摘要
研究面内载荷作用下轴向变速运动正交各向异性薄板的横向振动及其稳定性。利用Galerkin法与平均法,在激励频率为2倍固有频率或为两阶固有频率之和附近时得到自治的常微分方程组;在参数激励频率和激励振幅平面上,分析由共振引发的失稳区域。数值算例验证了面内载荷、轴向速度、加速度参数对失稳区域的影响。
The dynamic stability is investigated for the transverse vibrations of an axially accelerating orthotropic plate under in-plane loading. The Galerkin truncation method and the method of averaging are applied to yield a set of autonomous equations when the parametric excitation frequency is twice the natural frequency of one order or the combination of two different order natural frequencies. Stability boundaries are presented in the plane of parametric frequency and amplitude. The contributions of the in-plane loading, the axially velocity and the accelerating parameters to the stability boundaries are demonstrated by some numerical examples.
出处
《应用力学学报》
CAS
CSCD
北大核心
2010年第1期49-52,共4页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(10702045)
关键词
轴向运动板
次谐共振
组合共振
平均法
振动稳定性
axially moving plate, subharmonic resonance, combination resonance, averaging method, dynamic stability.
