A spline wavelets element method for frame structures vibration

1995 ◽  
Vol 16 (1) ◽  
pp. 11-21 ◽  
Author(s):  
W. -H. Chen ◽  
C. -W. Wu
Keyword(s):  
Frame Structures ◽  
Spline Wavelets ◽  
Element Method

A spline wavelets element method for frame structures vibration

1995 ◽  
Vol 16 (1) ◽  
pp. 11-21
Author(s):  
W.-H. Chen ◽  
C.-W. Wu
Keyword(s):  
Frame Structures ◽  
Spline Wavelets ◽  
Element Method

Differential Quadrature Element Method for the Analysis of Vibration of Frame Structures Having Nonprismatic Members Considering Warping Torsion

2000 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Vibration Analysis ◽  
Differential Quadrature ◽  
Frame Structures ◽  
Rigorous Solution ◽  
Discrete Eigenvalue ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Domain Boundaries ◽  
Eigenvalue System ◽  
Element Method

Abstract The differential quadrature element method (DQEM) and the extended differential quadrature (EDQ) have been proposed by the author. The EDQ is used to the DQEM vibration analysis frame structures. The element can be a nonprismatic beam considering the warping due to torsion. The EDQ technique is used to discretize the element-based differential eigenvalue equations, the transition conditions at joints and the boundary conditions on domain boundaries. An overall discrete eigenvalue system can be obtained by assembling all of the discretized equations. A numerically rigorous solution can be obtained by solving the overall discrete eigenvalue system. Mathematical formulations for the EDQ-based DQEM vibration analysis of nonprismatic structures considering the effect of warping torsion are carried out. By using this DQEM model, accurate results of frame problems can efficiently be obtained.

Nonlinear Dynamic Analysis of Space Frame Structures by Discrete Element Method

2014 ◽  
Vol 638-640 ◽  
pp. 1716-1719 ◽  
Author(s):  
Nian Qi ◽  
Ji Hong Ye
Keyword(s):  
Discrete Element Method ◽  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Discrete Element ◽  
Internal Force ◽  
Frame Structures ◽  
Space Frame ◽  
Bond Model ◽  
Element Method

This document explores the possibility of the discrete element method (DEM) being applied in nonlinear dynamic analysis of space frame structures. The method models the analyzed object to be composed by finite particles and the Newton’s second law is applied to describe each particle’s motion. The parallel-bond model is adopted during the calculation of internal force and moment arising from the deformation. The procedure of analysis is vastly simple, accurate and versatile. Numerical examples are given to demonstrate the accuracy and applicability of this method in handling the large deflection and dynamic behaviour of space frame structures. Besides, the method does not need to form stiffness matrix or iterations, so it is more advantageous than traditional nonlinear finite element method.

Wave propagation in cracked frame structures by the spectral element method

2014 ◽  
Vol 6 (3) ◽  
pp. 1-10
Author(s):  
Ramezan Ali Izadifard ◽  
Reza Khaleseh Ranjbar ◽  
Benyamin Mohebi
Keyword(s):  
Wave Propagation ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Frame Structures ◽  
Element Method

Application of Spectral Element Method for Dynamic Analysis of Plane Frame Structures

2019 ◽  
Vol 35 (3) ◽  
pp. 1213-1233 ◽  
Author(s):  
N. Merve Çağlar ◽  
Erdal Şafak
Keyword(s):  
Dynamic Response ◽  
Spectral Element Method ◽  
Computational Cost ◽  
Spectral Element ◽  
Frame Structure ◽  
Frame Structures ◽  
The Finite Element Method ◽  
Plane Frame ◽  
Impedance Functions ◽  
Element Method

The paper presents a methodology to analyze plane frame structures using the Spectral Element Method (SEM) with and without considering Soil-Structure Interaction (SSI). The formulation of spectral element matrices based on higher-order element theories and the assemblage procedure of arbitrarily oriented members are outlined. It is shown that SEM gives more accurate results with much smaller computational cost, especially at high frequencies. Since the formulation is in the frequency domain, the frequency-dependent foundation impedance functions and SSI effects can easily be incorporated in the analysis. As an example, the dynamic response of a plane frame structure is calculated based on the Finite Element Method (FEM) and SEM. FEM and SEM results are compared at different frequency bands, and the effects of SSI on the dynamic response are discussed.

Wave propagation analysis of frame structures using the spectral element method

2004 ◽  
Vol 277 (4-5) ◽  
pp. 1071-1081 ◽  
Author(s):  
H. Igawa ◽  
K. Komatsu ◽  
I. Yamaguchi ◽  
T. Kasai
Keyword(s):  
Wave Propagation ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Frame Structures ◽  
Propagation Analysis ◽  
Element Method

Generalized finite element analysis of high-rise wall-frame structural systems

2017 ◽  
Vol 34 (1) ◽  
pp. 189-210 ◽  
Author(s):  
HongJun Son ◽  
Jonghwan Park ◽  
Heecheul Kim ◽  
Young Hak Lee ◽  
Dae-Jin Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Design Stage ◽  
Frame Structures ◽  
Analysis Tool ◽  
Content Type ◽  
High Rise ◽  
Initial Design ◽  
Generalized Finite Element ◽  
Element Method

Purpose This paper aims to propose a generalized finite element technique that can accurately approximate the solution of the flexural-shear cantilever model of wall-frame structures proposed by Heidebrecht and Stafford Smith. Design/methodology/approach This approach adopts scaled monomials as enrichment functions, and they are highly effective in accurately capturing the solution of the problem, as it consists of smooth functions such as polynomials, hyperbolic and trigonometric functions. Several numerical experiments are performed on the static and modal analyses of the flexural-shear cantilever wall-frame structures using the proposed generalized finite element method (GFEM), and their accuracies are compared with those obtained using the standard finite element method. Findings The proposed GFEM is able to achieve theoretical convergence rates of the static and modal analyses, which are, in principle, identical to those of the standard FEM, for various polynomial orders of its shape functions such as quadratic, cubic and quartic orders. The proposed GFEM with quartic enrichment functions can provide more accurate solutions than the standard FEM, and thus can be effectively used at the initial design stage of high-rise wall-frame structures. Originality/value This work is the first paper where the GFEM is applied to the analysis of high-rise wall-frame structures, and the developed technique can be used as a good analysis tool at the initial design stage.

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