【作者】 王云飞；

【导师】 孙云普；

【作者基本信息】 河南理工大学 ， 工程力学， 2007， 硕士

【摘要】 由于复合材料层合板壳这样的简单结构在实际工程中经常使用,所以用一种更经济的计算速度快的方法来处理更为必要。本文针对复合材料层合板壳结构的几何形状特点,采用有限条半解析法对复合材料层合薄板结构的整体响应(如挠度、应力、频率等)进行了分析,对预测板壳结构在载荷作用下的全局响应是非常必要且具有实际意义的。本文用有限条半解析法对弹性层合薄板的平面应力、弯曲、振动问题进行了研究。将连续求解域用直线沿某一方向剖分为若干条形单元,在条形单元上采用由边界条件决定的连续光滑可微函数作为位移函数的级数部分,在离散方向采用由结点位移及位移的导数为参数的形函数,由级数与形函数的乘积构成位移函数的一般形式,通过最小势能原理求得板壳结构的整体位移响应。将可求得解析解的板壳结构的本文解与经典薄板理论解和弹性理论解及有限元解作了比较,在振动问题中将本文解与实验结果和有限元解作了比较。从对比分析中发现,用本文方法和有限单元法进行计算分析时,在两者达到相同计算精度的情况下,本文法要比有限单元法减少很多自由度,大大节省前处理工作量,减少计算时间,提高计算效率,当处理较大规模问题时这一优势会更加明显。更多还原

【Abstract】 Since structures of composite laminated plates that are structures of simplicity are widely used in constructional engineering, the extremely economical and fast method to deal with it is very essential. In the paper, taking into account the shape traits of composite laminated plates, the global response of composite laminated thin plates (such as deflection, stress and frequency) is analyzed by the finite strip method. It is extremely imperative and significant for predicting the global response of structures of thin plates under loads. The stress in-plane, bend and vibration of composite elastic laminated thin plates are studied by virtue of finite strip method in this paper. The continuous domain is divided into many strip elements by straight line along one direction, the function which is continuous and differentiable and determined by boundary conditions acts as series of the displacement function on strip element, the polynomial function adopted on the discrete direction is determined by nodal displacements and derivative of displacements. The general displacement function is composed of series and polynomial. The global response of composite laminated thin plates is obtained by the principle of minimal potential energy. Then, the results in this paper are compared with the classical solution, the elastic solution and the finite element solution, with experimental results and finite element solutions on vibration. Compared with finite element method, the method in this paper may quite cut down degrees of freedom, extraordinarily economize the preprocess work, reduce the calculating time, highly improve the efficiency when both are just about close in precision, which is more remarkable when the structure become greater.更多还原