ABSTRACT: In this study, large-deformation and small-strain elasto-plastic analysis of space frames with symmetric cross sections and semi-rigid connections are presented. The effect of axial forces on the bending moment and lateral buckling are included. However, axial-torsional and warping effects are omitted. The Eulerian equations for a beam-column with finite rotation taking into account b...

A shape design sensitivity analysis (DSA) and optimization of structural transient dynamics are proposed for the finite deformation elastoplastic materials under impact with a rigid surface. A shape variation of the structure is considered using the material derivative approach in continuum mechanics. Hyperelasticitybased multiplicatively decomposed elastoplasticity is used for the constitutive...

In this work, an analytical study on the bending stiffnesses of corrugated board has been performed. Formulations to calculate the bending stiffnesses D11, D22, D12, and D66 of the equivalent plate representing the corrugated board have been established, and then compared to expressions suggested by other investigators. Several methods for modeling the shape of the corrugated orthotropic medium...

The technique of continuous unitary transformations has recently been used to provide physical insight into a diverse array of quantum mechanical systems. However, the question of how to best numerically implement the flow equations has received little attention. The most immediately apparent approach, using standard Runge–Kutta numerical integration algorithms, suffers from both severe ineffic...

Abstract This contribution presents a proper generalized decomposition-based nonlinear solver for an efficient solution of geometrically dynamic problems. The is built as sum dyadic products space and time modes, this so-called enrichments truncated when the required accuracy achieved. In proposed algorithm, we apply consistent linearization residual vectors around currently known over whole sp...

The size dependent large displacement behavior of planar microbeams and microframes is studied in this paper using a corotational beam element. To account for the effect, modified couple stress theory (MCST) employed conjunction with Euler-Bernoulli deriving internal force vector tangent stiffness matrix Newton-Raphson based iterative procedure used combination arc-length method to solve nonlin...

Abstract This paper describes the quasi-static formulation of frictionless line contact between flexible beams by employing mortar finite element approach. Contact constraints are enforced in a weak sense along region using Lagrange multipliers. A simple projection appropriate for thin with circular cross-sections is proposed computation regions. It combined geometrically exact beam formalism o...

This paper proposes a multirate control algorithm to guarantee the stability of haptic dental training system. In terms of a high-frequency force interpolating model, a multirate system with two levels up-sampling is introduced. The first level up-sampling achieves the haptic rendering with 1K Hz and the second level achieves the interpolating algorithm with 10K Hz or higher. Due to the slow ve...

In this work, we introduce a numerical method to approximate differential operators and integrals on point clouds sampled from a two dimensional manifold embedded in Rn. Global mesh structure is usually hard to construct in this case. While our method only relies on the local mesh structure at each data point, which is constructed through local triangulation in the tangent space obtained by loc...

This paper is concerned with the elastic buckling of pumpkin-shaped balloon structures. Pumpkin balloons, currently being used in the NASA Ultra-Long Duration Ballooning (ULDB) Program, consist of stiff meridional tendons that constrain a thin, highly curved plastic surface. The present study exploits the high degree of symmetry of this design by adopting a newly developed, closed form expressi...