DEVELOPMENT OF HYBRID FINITE ELEMENTS FOR ANALYSIS OF DYNAMICS PROBLEMS USING ADVANCED MODE SUPERPOSITION / DESENVOLVIMENTO DE ELEMENTOS FINITOS HÍBRIDOS PARA A ANÁLISE DE PROBLEMAS DINÂMICOS USANDO SUPERPOSIÇÃO MODAL AVANÇADA

AUTOR(ES)

PLINIO GLAUBER CARVALHO DOS PRAZERES

DATA DE PUBLICAÇÃO

2005

RESUMO

The hybrid finite element method, proposed by Pian on the basis of the Hellinger-Reissner potential, has proved itself a conceptual breakthrough among the discretization formulations, and has been extensively explored both academically and in commercial codes also taking into account an independent series of more recent developments called Trefftz methods. The hybrid boundary element method is a successful generalization of Pian´s original formulation, in which Green´s functions are taken as interpolation functions in the domain, thus enabling the robust and accurate modeling of arbitrarily shaped bodies submitted to several types of actions. More recently, a proposition by Przemieniecki - for the generalized free vibration analysis of truss and beam elements - was incorporated into the hybrid boundary element formulation and extended to the analysis of time-dependent problems by making use of an advanced mode superposition procedure that takes into account general initial conditions as well as general body actions, besides the inertial effect. The present contribution aims to bring to finite elements the conceptual improvements obtained in the frame of the hybrid boundary element method. A large family of hybrid, macro finite elements is introduced for the unified treatment of 2D and 3D, static and transient problems of elasticity and potential on the basis of nonsingular fundamental solutions. It is also shown that nonhomogeneous materials, as the novel functionally graded materials, may be dealt with consistently, at least for potential problems. Some simple numerical examples are shown to illustrate the theoretical developments.

ASSUNTO(S)

materiais com gradacao funcional elementos finitos dinamicos functionally graded materials dynamic finite element dynamic analysis elementos finitos hibridos analise dinamica hybrid finite element

Documentos Relacionados

• Stress hybrid and hybrid-mixed finite elements with nodal enrichment
• Analysis of elastodynamic problems through the boundary element method and coupling of boundary elements and finite elements
• Estudo de impacto usando elementos finitos e análise não linear.
• Análise de problemas de contato/impacto em estruturas de comportamento não linear pelo método dos elementos finitos
• About the modelling of thin structures using three-dimensional finite elements.