000001969 001__ 1969
000001969 005__ 20141118153448.0
000001969 04107 $$acze
000001969 046__ $$k2011-05-09
000001969 100__ $$aStaňák, P.
000001969 24500 $$aAPPLICATION OF MESHLESS MLPG METHOD FOR TRANSIENT ANALYSIS OF AXISYMMETRIC CIRCULAR PLATE BENDING PROBLEM 

000001969 24630 $$n17.$$pEngineering Mechanics 2011
000001969 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000001969 506__ $$arestricted
000001969 520__ $$2eng$$aAxisymmetric circular plates subjected to stationary and transient dynamic loads are analyzed in the presented paper. Effect of viscous damping is also considered. Dynamic loading with impact and stepped time history is taken into account. The governing equation for the bending of plate represented by partial differential equation (PDE) of the fourth order is decomposed into two coupled PDEs of the second order. Clamped plate edge as a boundary condition is assumed. Axisymmetric assumptions reduce the problem to one dimensional. Each node is a center of 1-D interval subdomain. The weak-form on these small subdomains is applied to derive local integral equations with a unit step function as the test function. Moving least-squares (MLS) approximation technique is applied to obtain system of ordinary differential equations (ODE). Houbolt finite difference scheme is finally applied to solve this system of ODE for certain nodal unknowns.

000001969 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000001969 653__ $$aLocal integral equations, meshless approximation, Kirchhoff plate theory, Houbolt finitedifference scheme.

000001969 7112_ $$aEngineering Mechanics 2011$$cSvratka (CZ)$$d2011-05-09 / 2011-05-12$$gEM2011
000001969 720__ $$aStaňák, P.$$iSládek, V.$$iSládek, J.
000001969 8560_ $$ffischerc@itam.cas.cz
000001969 8564_ $$s764794$$uhttps://invenio.itam.cas.cz/record/1969/files/p131.pdf$$y
             Original version of the author's contribution as presented on book, page 563.
            
000001969 962__ $$r1835
000001969 980__ $$aPAPER