scholarly journals A meshfree method based on point interpolation for dynamic analysis of rotating cantilever beams

2015 ◽  
Vol 64 (3) ◽  
pp. 034501
Author(s):  
Du Chao-Fan ◽  
Zhang Ding-Guo
Keyword(s):  
Dynamic Analysis ◽  
Meshfree Method ◽  
Cantilever Beams ◽  
Point Interpolation

Dynamic Analysis of Fracture in Thin-Walled Pipes

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
C. Gato ◽  
Y. Shie
Keyword(s):  
Dynamic Analysis ◽  
Dynamic Fracture ◽  
Meshfree Method ◽  
Meshfree Methods ◽  
Shape Functions ◽  
Order Continuity ◽  
Cylindrical Structures ◽  
Thin Walled Structures ◽  
Ill Conditioning ◽  
Thin Walled

Dynamic fracture of thin-walled cylindrical structures is studied with a large deformation meshfree method. Due to the higher order continuity and smoothness of the shape functions, meshfree methods are well suited to simulate dynamic fracture of thin-walled structures since they avoid ill-conditioning as well as stiffening in numerical computations. Simulations of detonation driven fracture in thin pipes demonstrate the efficiency of the method.

scholarly journals A Meshfree Method for Signorini Problems Using Boundary Integral Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Yanlin Ren ◽  
Xiaolin Li
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Inequality Constraints ◽  
Meshfree Method ◽  
Boundary Integral ◽  
Unknown Boundary ◽  
Nodal Data ◽  
Fixed Point Equation ◽  
Point Equation ◽  
Point Interpolation

This paper presents a meshfree method for the numerical solution of Signorini problems. In this method, a projection iterative algorithm is used to convert the boundary inequality constraints into a fixed point equation. Then, the boundary value problem is reformulated as boundary integral equations and the unknown boundary variables are interpolated by the point interpolation scheme. Thus, only a nodal data structure on the boundary of a domain is required, and boundary conditions can be implemented directly and easily. The convergence of this method is verified theoretically. Numerical examples involving groundwater flow and electropainting problems are also provided to illustrate the performance and usefulness of the method.

Numerical Analysis of Quasistatic Contact between Rubber Roller and Rigid Roller

2012 ◽  
Vol 479-481 ◽  
pp. 1446-1452
Author(s):  
Bing Wang ◽  
Zhao Wu Wang
Keyword(s):  
Boundary Condition ◽  
Normal Load ◽  
Meshfree Method ◽  
Contact Problems ◽  
Numerical Examples ◽  
Rubber Roller ◽  
Dual Series Equations ◽  
Point Interpolation ◽  
Stress And Deformation ◽  
Feed Unit

A quasistatic and steady state contact problems of rubber roller and rigid roller is modeled by using a stress function in the form of series. The model is derived from the paper feed unit of duplicating machine. The point interpolation meshfree method (PIM) is applied to obtain the solution of the dual series equations resulting from the boundary condition. Stress and deformation for the rubber roller are obtained based on elasticity theory. Effects of rubber thickness and normal load are observed through the numerical examples. The observation show that the contact zone is changing with the normal load F and the rubber thickness has effect on the stress distribution. In addition, the study shows that the PIM method is an efficient and promising method for simulating the problem.

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