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Related papers: Vibration Analysis of Timoshenko Beams using Isoge…

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This paper presents a Finite Element Model Updating framework for identifying heterogeneous material distributions in planar Bernoulli-Euler beams based on a rotation-free isogeometric formulation. The procedure follows two steps: First,…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Bartłomiej Łazorczyk , Roger A. Sauer

The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The…

Numerical Analysis · Mathematics 2021-01-25 Gernot Beer , Christian Duenser , Vincenzo Mallardo

In this paper, a recently developed Higher Order Microplane (HOM) model for softening and localization, is implemented within a isogeometric finite element framework. The HOM model was derived directly from a three dimensional discrete…

Materials Science · Physics 2016-11-23 Erol Lale , Xinwei Zhou , Gianluca Cusatis

A well-posed stress-driven mixture is proposed for Timoshenko nano-beams. The model is a convex combination of local and nonlocal phases and circumvents some problems of ill-posedness emerged in strain-driven Eringen-like formulations for…

This paper addresses the dynamics of locally-resonant sandwich beams, where multi-degree-of-freedom viscously-damped resonators are periodically distributed within the core matrix. Using an equivalent single-layer Timoshenko beam model…

Applied Physics · Physics 2021-04-13 Andrea Francesco Russillo , Giuseppe Failla , Fernando Fraternali

The paper presents a two-dimensional geometrically nonlinear formulation of a beam element that can accommodate arbitrarily large rotations of cross sections. The formulation is based on the integrated form of equilibrium equations, which…

Numerical Analysis · Mathematics 2021-04-20 Milan Jirásek , Emma La Malfa Ribolla , Martin Horák

In this paper, I presented the analysis and numerical results for free transverse vibration of thin rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges. For finding the…

Classical Physics · Physics 2018-10-16 Avinash Kumar

We present a stable mixed isogeometric finite element formulation for geometrically and materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation with extensible directors is used. The extensible directors…

Numerical Analysis · Mathematics 2024-11-21 Myung-Jin Choi , Sven Klinkel , Simon Klarmann , Roger A. Sauer

A nonlinear analysis of high-frequency thickness-shear vibrations of AT-cut quartz crystal plates is presented with the two-dimensional finite element method. We expanded both kinematic and constitutive nonlinear Mindlin plate equations and…

Materials Science · Physics 2014-02-20 Ji Wang , Yangyang Chen , Rongxing Wu , Lihong Wang , Huimin Jing , Jianke Du , Yuantai Hu , Guoqing Li

The nonlinear formulation developed based on von Karman's assumptions is employed to study the free vibration characteristics of functionally graded material (FGM) plates subjected to thermal environment. Temperature field is assumed to be…

Numerical Analysis · Mathematics 2011-07-28 N Sundararajan , T Prakash , M Ganapathi

This paper presents three different constitutive approaches to model thin rotation-free shells based on the Kirchhoff-Love hypothesis. One approach is based on numerical integration through the shell thickness while the other two approaches…

Computational Engineering, Finance, and Science · Computer Science 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

In this paper, equilibrium and stability equations of functionally graded material (FGM) plate under thermal environment are formulated based on isogeometric analysis (IGA) in combination with higher-order shear deformation theory (HSDT).…

Computational Engineering, Finance, and Science · Computer Science 2015-11-05 Loc V. Tran , Phuc Phung-Van , Jaehong Lee , H. Nguyen-Xuan , M. Abdel Wahab

In this paper, a novel varying order NURBS discretization method is proposed to enhance the performance of isogeometric analysis within the framework of computational contact mechanics. The method makes use of higher-order NURBS for contact…

Numerical Analysis · Computer Science 2020-06-03 Vishal Agrawal , Sachin S. Gautam

The paper presents the Isogeometric Boundary Element Method (IGABEM) algorithm for solving the plane strain problem of an isotropic linearly elastic matrix containing an open material surface of arbitrary shape. Theoretical developments are…

Numerical Analysis · Mathematics 2025-11-06 Rohit Satish Patil , Zhilin Han , Sofia G. Mogilevskaya

This paper deals with the vibration analysis of an asymmetric composite beam composed of glass a piezoelectric material. The Bernoulli's beam theory is adopted for mechanical deformations, and the electric potential field of the…

Other Computer Science · Computer Science 2008-02-22 J. -S. Chen , S. -H. Chen , K. -C. Wu

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional…

Numerical Analysis · Mathematics 2021-05-11 Toru Takahashi , Daisuke Sato , Hiroshi Isakari , Toshiro Matsumoto

In the present paper, a new parabolic shear deformation beam theory is developed and applied to investigate the bending behavior of functionally graded (FG) sandwich curved beam. The present theory is exploited to satisfy parabolic…

In this paper, we take a fresh look at using spectral analysis for assessing locking phenomena in finite element formulations. We propose to "measure" locking by comparing the difference between eigenvalue and mode error curves computed on…

Computational Engineering, Finance, and Science · Computer Science 2021-11-02 Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger

Slender beam-like structures frequently occur in engineering applications and often interact at discrete locations through joints or connectors. Accurate modeling of such interactions is particularly challenging when different numerical…

Computational Engineering, Finance, and Science · Computer Science 2026-04-13 Ivo Steinbrecher , Nora Hagmeyer , Christoph Meier , Alexander Popp

In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration. We use a displacement-Herrmann pressure formulation for the…

Numerical Analysis · Mathematics 2025-11-05 Arbaz Khan , Felipe Lepe , David Mora , Ricardo Ruíz-Baier , Jesus Vellojin