Reproducing kernel collocation method applied to the non-linear dynamics of pipe whip in a plane

• Published in: International journal of impact engineering Vol. 34; no. 10; pp. 1637 - 1654
• Main Authors: Shaw, Amit, Roy, D., Reid, S.R., Aleyaasin, M.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2007; Elsevier Science
• Subjects: Collocation methods; Elastic-plastic-hardening-softening beams; Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Large deflections; Physics; Pipe whip; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Travelling plastic hinges; Collocation methods; Elastic-plastic-hardening-softening beams; Large deflections; Travelling plastic hinges; Pipe whip; Non linear material; Non conservative system; Windows; Function approximation; Modeling; Cantilever beam; Inelasticity; Least squares method; Pulse response; Follower force; Collocation method; Equation of motion; Kinking; Pipe; Large displacement; Kernel method; Plasticity zone; Particle method; Meshless method; Non linear effect; Curvature; Plastic hinge; Strain hardening; Structural analysis; Finite difference method

A windowed collocation method, based on a moving least squares reproducing kernel particle approximation of functions, is explored for spatial discretization of the strongly non-linear system of partial differential equations governing large, planar whipping motion of a cantilever pipe subjected to...