Vibration analysis of structural elements using differential quadrature method [PDF]
Journal of Advanced Research, 2013 The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation.
Mohamed Nassar +2 more
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Computational DIQM Scheme for Solving Nonlinear Volterra Integro-Differential Equations [PDF]
The Egyptian International Journal of Engineering Sciences and Technology, 2020 The authors in this work develop the differential quadrature method (DQM) to solve the nonlinear Volterra integro-differential equation by introducing an integration matrix operator that is fully combined with the differentiation matrix in (DQM) method ...
Norhan Mohamed +2 more
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Differential Quadrature Method for Vibration Analysis of Prestressed Beams [PDF]
E3S Web of Conferences, 2021 This paper investigates natural frequencies of free transverse vibrations of prestressed beams, and the governing equations and natural frequencies of the free vibration in related literatures are discussed and corrected.
Peng Li, Wang Ying
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FREE VIBRATION ANALYSIS OF CRACKED POST-BUCKLED BEAM BY DIFFERENTIAL QUADRATURE METHOD [PDF]
مجله مدل سازی در مهندسی, 2013 The vibration analysis of cracked post-buckled beam is investigated using the differential quadrature method. Crack, assumed to be open, is modeled by a massless rotational spring.
P. Jamshidi Moghadam, S. Moradi
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Time integration of rectangular membrane free vibration using spline-based differential quadrature [PDF]
Journal of Applied and Computational Mechanics, 2016 In this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation.
Sara Javidpoor +2 more
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Numerical solution of the viscous Burgers’ equation using Localized Differential Quadrature method
Partial Differential Equations in Applied Mathematics, 2021 In this article, we propose a numerical method to solve the viscous Burgers’ equation in one and two dimensions using the Localized Differential Quadrature (LDQ) scheme.
Athira Babu, Bin Han, Noufal Asharaf
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Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method
Nonlinear Engineering, 2022 This work is an experiment to solve the fractional diffusion equation in two dimensions with a novel hybrid method. The method involves an amalgamation of the well-known differential transform method and the differential quadrature method.
Devshali Pratiksha, Arora Geeta
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Computational solutions for Eikonal equation by differential quadrature method
Alexandria Engineering Journal, 2022 This article presents an efficient method to solve of Eikonal equation by the new differential quadrature method. The purpose of this article is to obtain the accuracy and performance method for the Eikonal equation.
Mehrullah Mehr, Davood Rostamy
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Characteristics of the Differential Quadrature Method and Its Improvement [PDF]
Mathematical Problems in Engineering, 2015 The differential quadrature method has been widely used in scientific and engineering computation. However, for the basic characteristics of time domain differential quadrature method, such as numerical stability and calculation accuracy or order, it is still lack of systematic analysis conclusions.
Wang, Fangzong +2 more
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Applied Sciences, 2017 An accurate and efficient Differential Quadrature Time Finite Element Method (DQTFEM) was proposed in this paper to solve structural dynamic ordinary differential equations.
Yufeng Xing, Mingbo Qin, Jing Guo
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