vix.ing · top · new · best · stats · spec

Finite difference energy techniques for arbitrary meshes applied to linear plate problems

1979/01/01 by V. Pavlin, N. Perrone, Nicholas Perrone
Engineering · #Vibration and Dynamic Analysis #Composite Structure Analysis and Optimization #Structural Load-Bearing Analysis

paper · doi:10.1002/nme.1620140503

Abstract

Abstract A new energy based finite difference analytical technique is introduced. The method incorporates certain energy concepts and the ability to use arbitrary, irregular meshes within the framework of the Finite Difference Method. This formulation reduces any governing partial differential equations to a set of difference equations containing partial derivatives up to and including the second order. Further, certain strong similarities with the popular Finite Element Method are shown and the ability to solve problems with irregular boundaries is discussed. To demonstrate the Finite Difference Energy Method several plate bending problems are solved.

Related