Nonlinear Mechanics Analysis Of Rigid Pavement With Cracks On Nonlinear Foundation

In the category of road surface, various bridge components, architecture, are all over the use of a rigid plate. Mechanical behavior of rigid plates, beams, the impact on the structure of crack has long been the focus of great concern of academia. But in practical, foundation degree of complexity, surrounding constraints intractability, has yet to construct a more accurate model to study the topic. Based on existing theoretical considerations, the paper explore nonlinear foundation containing a cracked on the nonlinear static and dynamic characteristics of rigid pavement slab. In a nonlinear rectangular thin plate with free edges with type Ⅰ crack in the foundation to explore the objects, combined with the coupling effect of foundation and its system under external force and deformation, analysis of a rigid relationship between board and board foundation plate, to explore the changing rules of nonlinear mechanics.First, based on Thin Plate Theory, and Rigid Plate Bending Theory, and Theory for a Cracked Plate, and Hamilton variational principle and considered nonlinear factors. Building nonlinear foundation containing Ⅰtype crack rigid plate nonlinear static force deformation equation group, on its to simplify of dimension. Prepare a fit all surface boundary conditions such as stress, displacement, crack-continuity conditions, a set of suitable expressions of deflection shape functions, will nonlinear the dimensionless differential equations are simplified to dimensionless nonlinear algebraic equations. Used Galerkin Method on its numerical approximate solution. Introducing the correctness of previous case-based governing equation deductive obtained parameters about the plate, crack, foundational response modulus of non-linear static transformation laws of rigid pavement slab.Then, based on Nonlinear Dynamics Theory, and Theory for a Cracked Plate, and Hamilton variational principle and combines nonlinear, building nonlinear foundation containing Ⅰ type crack rigid plate nonlinear free vibration equation group, on its to simplify of dimension, developed a meet all surface force, and displacement, and crack-continuity conditions,a set of suitable expressions of deflection shape functions. Used Galerkin Method,and Harmonic Balance Method and using this eigenfunction of orthogonality seekingnonlinear free vibration infinite outline equation group. Using case numerical research its dynamic response. On nonlinear foundation by quantitative analysis of rigid pavement slab with typeⅠ crack nonlinear free vibration according to the plate, crack, foundational response modulus of nonlinear dynamics of political parameters are varied.Last, when summing up the rigid road plate with cracks, plate structure physical parameter, and foundational response modulus, and crack location and the depth of simulation take value on structure nonlinear deflection deformation, and dynamic response of reaction law. Discussion on rigid crack bearing capacity, and stiffness, and vibration frequency,produced of effects. For component testing, repair and maintenance provides a good theoretical basis. When operating structure crack defect, according to conclusions, take appropriate measures to prevent the spread of cracks, collection.