Wavelet Method For Analysis Of Large Deformation And Bending Of Cylindrical Shells

The large deformation and bending of the structure has always been a topic that people have paid close attention to,and it is also an important criterion for testing the quality of the structure.Therefore,the analysis of the large deformation and bending of the structure is one of the indispensable links in practical engineering applications.The existing traditional analysis methods include: finite element method and finite difference method.In recent years,as a new type of material,the cylindrical shell structure has been widely used in various fields due to its unique geometric configuration and good properties,such as: petroleum transportation pipelines,arch bridges,etc.Therefore,it is very important to analyze the large deformation and bending of the cylindrical shell structure.However,due to the problem of large deformation and bending of cylindrical shells involving many problems such as high space dimension,strong nonlinearity,and complex boundaries,the calculation is difficult.The traditional finite element method and finite difference method are not suitable for strong nonlinear problems and shear locking will occur in the solution analysis.It cannot fully describe a series of structural deformation characteristics.The calculation amount of the traditional method is too huge.Therefore,in this paper,the wavelet method will be used to numerically solve the problem of large deformation and bending of cylindrical shells.As a new type of numerical algorithm,the wavelet method has the advantages of smoothness,orthogonality and tight support,so that it can avoid shear lock in the calculation and overcome the defects of traditional methods.At the same time,it can also ensure extremely high calculation accuracy.Therefore,it has been widely used in the analysis of mechanical structures.So far,the wavelet method has achieved good results in the analysis of the nonlinear deformation of low-dimensional beams and plates.But for the high dimension,the complex structural problem of nonlinear deformation has never been involved and verified.In this paper,the definition of the wavelet closed solution is given before calculating the bending deformation of the cylindrical shell,and it is verified by derivation that the wavelet closed solution can be applied to the numerical solution of strong nonlinear problems,and then the cylindrical shell under the condition of uniform pressure,the bending deformation is numerically solved and analyzed,and the obtained numerical results are compared with the simulation results of the finite element software Abaqus.The main results of this study are as follows:(1)This master’s degree thesis gives specific calculation steps and procedures for solving the problem of large deformation and bending of cylindrical shells that are simply supported on both sides and subjected to uniform radial loads.(2)This paper extends the application of wavelet algorithm in mechanical structures to high-dimensional,large-deformation complex structures,and compares the numerical results obtained by cylindrical shells under nonlinear conditions with the finite element method to obtain the wavelet numerical algorithm it is suitable for solving the conclusion of large deformation of complex high-dimensional cylindrical shell structure.