摘要
提出了一种消能减震剪力墙结构最优阻尼比的设计方法。采用连续化方法,将剪力墙连梁处的阻尼器参数连续分布在墙肢上,从墙肢的微元体的力学平衡方程出发,建立了墙肢的动力偏微分方程,并映射成为双变量的常微分方程。求导建立最优函数方程,将两种极限状态参数代入最优函数方程,获得一个关于阻尼比的超越方程,用数值解法确定最优阻尼比。数值分析结果表明了设计方法的有效性。该设计方法的特点是物理概念明确,计算过程的物理信息不丢失,工作量少,可推广应用在高层建筑的消能减震设计中。
An optimization design method for shear wall structure with energy dissipation devices is put forward. By using continuum method, energy dissipation devices in shear wall structure are considered as continuous parameters in the vertical direction. According to the equilibrium equations of an infinitesimal element of shear wall, partial differential equations are derived and mapped into ordinary differential equations of two parameters. The optimal function equation is established. The parameters of two limit states are substituted into optimal function equation and a transcendental equation is obtained and the optimal damper ratio is determined by numerical method. Numerical results show effectiveness of the solution method. The method is characterized by clear physical concept and high calculation efficiency. It can be applied to the design of high-rise buildings with energy dissipation devices.
出处
《工程力学》
EI
CSCD
北大核心
2005年第3期97-101,共5页
Engineering Mechanics
基金
山东省自然科学基金项目(Y2001F07)
关键词
建筑结构
连续化方法
剪力墙结构
最优函数方程
超越方程
最优阻尼比
Damping
Energy dissipation
Optimization
Ordinary differential equations
Partial differential equations
Structural design
