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摘要:用传统的理论解析方法分析四边固支双向板极限承载力，只能解决一些非常简单的构件或结构的非线性问题，对大量的双向板结构的非线性分析问题只能用数值方法解决，因此，有限元方法作为一个强有力的数值分析工具，在四边固支双向板结构的非线性分析中得到了广泛地应用。随着有限元理论和计算机技术的进步，非线性有限元分析方法也得以迅速的发展并发挥出巨大的作用。
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从中我们可以了解到：在理论方面是以有限元法为代表的数值法在一定程度上弥补了精确求解方法的不足,从而使得绝大多数的工程问题得到及时有效的解决方法,然而这并不意着板的精确求解不会再具有进一步发展下去的必要。例如,想要求出薄板结构问题的精确解析解,可以使得薄板结构的优化设计以及其参数反演等复杂问题得以简化。因此,将会有更多薄板结构精确求解的出现。
从实际应用方面看，四边固支双向板是土木工程中最常见的结构形式。例如高速公路的水泥混凝土路面和机场的停机坪以及各种建筑工程中的楼板等等。但是,由于数学上的困难到目前为止,只有在四边简支或者对边简支条件下,才可以得到精确解析解。对于其它边界条件的薄板弯曲问题一直未能求出精确解答。24282
针对四边固支双向板，根据有限元理论，进行其极限承载力模拟分析研究，其主要内容包括：基本假定，参数设计，有限元建模，荷载设计，结论等。需要根据结构设计理论基本原理，结合有限元知识、采用相关计算软件，对该板的受力变形及其破坏过程进行有限元模拟分析。
根据设定四边固支双向板的尺寸，和设得的混凝土强度等参数，采用sap2000有限元分析软件建立计算模型，施加相应荷载分析所得的荷载工况，通过计算分析，求解板的承载力。
毕业论文关键词：有限元法；四边固支双向板；有限元模型；sap2000
Summary
Abstract：Traditional analytic theory to analyze two-way slab sides clamped ultimate bearing capacity, can only solve some of the problem is very simple nonlinear components or structures, nonlinear analysis of the problem of a large number of two-way slab structure can only use numerical methods to solve, so finite element method as a powerful tool for numerical analysis, nonlinear analysis in the four sides clamped bidirectional board structure has been widely used. With advances in computer technology and finite element theory, nonlinear finite element analysis method is also able to rapidly develop and play a huge role.
Able to understand: in theory, the finite element method to represent numerical method to some extent make up for the lack of exact solution methods, the vast majority of engineering problems to make timely and effective solution, but that does not mean board exact solution is no longer necessary to go on with further development. For example, find the exact analytical solution sheet structural problems, optimal design can make the sheet structure parameters inversion to simplify complex issues. Therefore, more accurate solution sheet structure appears.
In practical applications, the four sides clamped bidirectional board is more common in civil engineering structure, such as cement concrete pavement expressway and airport tarmac and a variety of construction projects in the floor and so on. However, due to difficulties in mathematics So far, only four sides simply supported edges simply supported or under conditions, we can get the exact analytical solution. For other plate bending problem of boundary conditions has not been possible to get accurate answers.
For four sides clamped bidirectional board, according to the finite element theory, simulation studies conducted its ultimate capacity, its main contents include: basic assumptions, parameters, design, finite element modeling, design loads, conclusions. Needs based on the basic principles of design theory, finite element knowledge, using the relevant calculation software, the force of the plate deformation and failure process of finite element analysis.