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Research on the Bending and Stable of the Rectangular Plates on Nonlinear Elastic Foundation

Author: GuoYanMei
Tutor: XiaoYongGang
School: Changsha University of Science and Technology
Course: Engineering Mechanics
Keywords: Rectangular plate Nonlinear elastic foundation Stable Dowel bar Galerkin method Nonlinear bending
CLC: TU470
Type: Master's thesis
Year: 2007
Downloads: 170
Quote: 3
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Abstract


Free Rectangular plate structure nonlinear elastic foundation depth considering the foundation nonlinear effects Free Rectangular plate bending and stability , as well as nonlinear elastic foundation dowel intermittent rectangular plate bending problems . The research not only has the important academic value , but also has a very important significance of engineering applications . The main contents of the paper is as follows . Small deflection bending theory based on the sheet , plate bending balance between nonlinear foundation can effectively reflect the nonlinear elastic foundation with sheet actual work consistent of Free Rectangular plate bending and stability control differential equations to construct a group trial function satisfy all boundary conditions using the Galerkin method for solving nonlinear elastic foundation free Rectangular board bending and stability . Example , Free Rectangular Plate on Nonlinear Foundation bending and stability characteristics of the geometric parameters of the structure of the board and the foundation parameters are discussed and compared with the results in the literature . Considering nonlinear elastic foundation the intermittent rectangular plate bending problem , the board break at dowel connection simulation of load transfer dowel by vertical springs , spring stiffness depends on the characteristics of the dowel and rod and the interaction between the boards . Intermittent rectangular plate with four free edges nonlinear elastic foundation plate bending balance between control differential equations , to construct a set of trial functions satisfy all boundary conditions , the Galerkin method to solve the problem . Example , discussed the impact of the the dowel parameters , geometrical parameters of the board and foundation parameters and the bending characteristics of intermittent rectangular plate on nonlinear elastic foundation . Sheet deflection theory , based on the large deflection plate on nonlinear elastic foundation plate bending balance between control differential equations , and construct a set of trial functions satisfy all boundary conditions , using the Galerkin method for solving nonlinear elastic foundation free Rectangular plate nonlinear bending problem . Example , the geometric parameters of the structure of the board and the foundation parameters and nonlinear bending characteristics of Free Rectangular Plate on Nonlinear Foundation , and were compared with the results in the literature .

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