In this paper, transverse and longitudinal vibration of nonlinear plate under exciting of orbiting mass is considered based on first-order shear deformation theory. The nonlinear governing equation of motion are discretized by the finite element method in combination with Newmark’s time integration scheme under von Karman strain-displacement assumptions. For validation of method and formulation...

Abstract-An Eulerian finite element formulation is presented for problems of large elastic-plastic flow. The method is based on Hill’s variational principle for incremental deformations, and is ideally suited to isotropically hardening Prandtl-Reuss materials. Further, the formulation is given in a manner which allows any conventions finite element program, for “small strain” elastic-plastic an...

Vibration of laminated composite and sandwich plate under thermal loading is studied in this paper. A refined higher order theory has been used for the purpose. In order to avoid stress oscillations observed in the implementation of a displacement based finite element, the stress field derived from temperature (initial strains) have been made consistent with total strain field. So far no study ...

This paper reports numerical analyses of free vibration of laminated composite plate/ shell structures of various shapes, span-to-thickness ratios, boundary conditions and lay-up sequences. The method is based on a novel four-node quadrilateral element, namely MISQ20, within the framework of the first-order shear deformation theory (FSDT). The element is built by incorporating a strain smoothin...

An adaptable algorithm is proposed in this study, which can predict the complete load-shortening curve of a stiffened panel subjected to uniaxial longitudinal compression. The provides an extension existing empirical formulae initially derived for predicting ultimate compressive strength panels. Based on observations from series nonlinear finite element analyses, behaviour panels idealised with...

Previous research by the authors has shown that sound radiated by a vibrating panel can be reduced considerably by using tuned acoustic resonators. The length of the tube resonators determines the frequency range in which sound is reduced. The shape of the spectrum is determined by the ratio of the cross-sectional areas of the resonators to the area of the panel. Maximum sound reduction is achi...

We use the commercial finite element software Abaqus to study three-dimensional deformations of glass panels impacted at normal incidence by a 0.5 mm diameter steel sphere moving at about 3 km/s and having kinetic energy of approximately 2.3 J. We quantify effects of the critical erosion strain and the impact speed upon the conchoidal fracture diameters developed on the frontand the backsurface...

This paper presents the formulation, implementation, calibration, and application of a multiscale reduced-order model to simulate titanium panel structure subjected thermomechanical loading associated with high-speed flight. The formulation is based on eigenstrain-based homogenization further considers thermal strain as well temperature-dependent material properties evolution laws. microstructu...

a r t i c l e i n f o a b s t r a c t Keywords: Hyperelastic material Strain energy density function Energy-based finite element Local relaxation procedure Object-oriented finite element programming The objective of the paper is to describe a novel finite element computational method based on a strain energy density function and to implement it in the object-oriented environment. The original e...