A Time-Domain DQ Approach for Vibration Analysis of Beams

2013 ◽  
Vol 631-632 ◽  
pp. 957-961
Author(s):  
Jian She Peng ◽  
Gang Xie ◽  
Liu Yang ◽  
Yu Quan Yuan
Keyword(s):  
Time Domain ◽  
Vibration Analysis ◽  
Differential Quadrature Method ◽  
Boundary Value ◽  
Linear Equations ◽  
Initial Boundary ◽  
Differential Quadrature ◽  
Structural Vibration ◽  
Quadrature Method ◽  
Initial Boundary Value

This paper presents a new time-domain DQ (differential quadrature) method for structural vibration analysis. It adopts differential quadrature method both in space domain and in time domain on the basis of governing partial differential equation and initial-boundary value condition of vibration problems of structures, and gets new differential quadrature linear equations with complete initial-boundary value conditions for solving all parameters of the displacement-field. The examples in this paper show the time-domain differential quadrature method is a useful and efficient tool for structural vibration analysis.

The Forced Vibration Analysis of Beams Based on a Time-Domain Differential Quadrature Method

2015 ◽  
Vol 741 ◽  
pp. 108-112
Author(s):  
Fan Lin ◽  
Jian She Peng ◽  
Liu Yang
Keyword(s):  
Time Domain ◽  
Differential Quadrature Method ◽  
Boundary Value ◽  
Linear Equations ◽  
Initial Boundary ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Computational Accuracy ◽  
Forced Vibration Analysis ◽  
Initial Boundary Value

Under driving forceF(x,t)=Q*sinwt, a time-domain DQ (differential quadrature) method for dynamic problems of beams with initial-boundary value conditions is presented in this paper. On the basis of governing partial differential equation, the discrete DQ method adopted both in space domain and time domain in this method gives rise to new differential quadrature linear equations with complete initial-boundary value conditions for solving all parameters of the displacement-field. The numerical examples show that the computational accuracy and efficiency of time-domain DQ method is better than finite element method based on time-domain difference.

scholarly journals Comparative Analysis of Free Optical Vibration of Lamination Composite Optical Beams Using the Boubaker Polynomials Expansion Scheme and the Differential Quadrature Method

ISRN Optics ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-5
Author(s):  
Ugur Yücel ◽  
Emna Gargouri-Ellouze ◽  
Karem Boubaker ◽  
Gökmen Atlihan ◽  
Hasan Çallioglu ◽  
...  
Keyword(s):  
Numerical Solutions ◽  
Differential Quadrature Method ◽  
Initial Boundary ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Initial Boundary Value Problems ◽  
Boubaker Polynomials ◽  
Optical Beams ◽  
Initial Boundary Value ◽  
Expansion Scheme

The effects of stacking sequences of composite laminated optical beams on free vibration frequencies are investigated using two methods: the Boubaker Polynomials Expansion Scheme (pbes) and the Differential Quadrature Method (dqm). In the last decades, these two techniques have been separately performed for obtaining accurate numerical solutions to several initial boundary value problems (Vo et al. 2010, Li et al. 2008, Chen 2003, Hu et al. 2008, Karami et al. 2003, Malekzadeh et al. 2004, Khare et al. 2004, Della and Shu 2005, Ramtekkar et al. 2002, Adam 2003). Conjointly yielded results are compared and discussed.

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