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结合膜结构的风振响应特点,采用流固耦合问题数值计算方法,实现了二维情况下膜结构风场的数值模拟。阐述了膜结构流固耦合计算中的结构域与流体域的网格关系和流固耦合边界的控制条件。选择大涡模拟作为湍流模型,并采用隐式时间积分TR-BDF法对流体域的Navier-Stokes方程进行时间域的离散。对耦合系统的有限元方程组采用Newton-Raphson法进行求解。计算结果表明,湍流模型选择大涡模拟可以较好模拟二维情况下膜结构在流场中的脉动反应。对于一般性的算例,瞬态流场中膜的应力增加较为明显。合理选择膜结构体型可以减小膜结构风振响应的脉动幅度。
Combined with the characteristics of wind-induced vibration response of the membrane structure, numerical simulation of fluid-solid coupling problem is used to simulate the wind field of membrane structure in two-dimensional case. The mesh relationship between the domain and the fluid domain and the control conditions of the fluid-structure interaction boundary are expounded in the fluid-solid coupling calculation of the membrane structure. Large-eddy simulation was chosen as the turbulence model and the Navier-Stokes equations of the fluid domain were discretized in time domain using the implicit time integral TR-BDF method. Newton-Raphson method was used to solve the coupled system of finite element equations. The results show that the large-eddy simulation of turbulent model can simulate the pulsatile response of the membrane structure in the flow field in two dimensions. For a generalized example, the stress increase in the transient flow field is more pronounced. Reasonable choice of membrane structure size can reduce the amplitude of wind-induced vibration response of the membrane.