谐振面力作用下的无穷大双周期加筋板的振动响应分析

文章主要研究了流体负载下的无穷大双周期加筋薄板,在周期谐振力作用下的振动响应。假设薄板和加强筋只存在法向力的作用,通过薄板和加强筋的位移连续条件,以及格林函数及傅立叶变换公式的应用,建立了频域内双周期加筋薄板的振动位移方程。利用空间波数法,将加筋薄板的振动位移表达为波数分量的迭加形式。通过数值计算的方法对波数分量进行求解,最后通过方程的傅立叶逆变换,得到了加筋薄板的振动方程。数值计算的结果表明文中的计算方法收敛速度快。

Investigation of the vibration response of an infinite two-dimensional rib-stiffened plate under a harmonic plane pressure

The vibration response of an infinite fluid-loaded plate, reinforced with two sets of orthogonal rib stiffeners, is investigated. The stiffeners are assumed to exert only forces on the plate. With the displace-ment continuity condition of the plate and the stiffeners, the vibration response of the rib-stiffened plate to a harmonic pressure in the wavenumber space is established by using the Green function and Fourier trans-forms. Applying the space harmonic method, the vibration displacement of the stiffened plate is then expressed as infinite sets of space harmonic amplitudes. After having a numerical solution for these amplitudes, the Fourier inverse transform is employed to find an expression for the vibration response of the stiffened plate in the physical space. Numerical results show that this method converges rapidly.