Stochastic dynamic stability of structures

结构的随机动力稳定性

• 批准号: 121355-2008
• 负责人: Xie, WeiChau
• 金额: $ 1.72万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=421934
• 关键词: Stochastic; dynamic; stability; structures

Many structural failures or system malfunctions occur as a result of dynamic instability, e.g. the collapse of Tacoma-Narrows bridge, and machine-tool chatter. Loadings imposed on structures often consist of random forces, such as those arising from earthquakes, wind, and ocean waves. Under the action of such loadings, the parameters describing the motion of a structure will fluctuate in a stochastic manner. The response of the structure is governed by stochastic differential equations. Parametric instability or resonance is characterized by exponential growth of the response amplitudes, even in the presence of damping.

许多结构失效或系统故障是由于动态不稳定性而发生的，例如塔科马海峡大桥的倒塌和机床的颤振。施加在结构上的荷载通常由随机力组成，例如地震、风和海浪引起的力。在这种载荷作用下，描述结构运动的参数将以随机方式波动。结构的响应由随机微分方程控制。参数不稳定或共振的特征是响应振幅的指数增长，即使在阻尼的存在。