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## On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams

#### C. H. W. Ng [1] , Y. B. Zhao [2] , Y. Xiang [3] , G. W. Wei [4]

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The occurrence of spurious complex eigenvalues is a serious stability problem in many differential quadrature methods (DQMs). This paper studies the accuracy and stability of a variety of different differential quadrature formulations. Special emphasis is given to two local DQMs. One utilizes both fictitious grids and banded matrices, called local adaptive differential quadrature method (LaDQM). The other has banded matrices without using fictitious grids to facilitate boundary conditions, called finite difference differential quadrature methods (FDDQMs). These local DQMs include the classic DQMs as special cases given by extending their banded matrices to full matrices. LaDQMs and FDDQMs are implemented on a variety of treatments of boundary conditions, distributions of grids (i.e., uniform grids and Chebyshev grids), and lengths of stencils. A comprehensive comparison among these methods over beams of six different combinations of supporting edges sheds light on the stability and accuracy of DQMs
Stability analysis, Local adaptive differential quadrature method, Differential quadrature method, Beam, Vibration analysis
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Konular JA65GN47ZY Makaleler Yazar: C. H. W. Ng Yazar: Y. B. Zhao Yazar: Y. Xiang Yazar: G. W. Wei
 Bibtex @ { ijeas251098, journal = {International Journal Of Engineering \& Applied Sciences}, issn = {}, eissn = {1309-0267}, address = {Akdeniz Üniversitesi}, year = {2009}, volume = {1}, pages = {1 - 25}, doi = {}, title = {On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams}, key = {cite}, author = {Zhao, Y. B. and Xiang, Y. and Wei, G. W. and Ng, C. H. W.} } APA Ng, C , Zhao, Y , Xiang, Y , Wei, G . (2009). On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams. International Journal Of Engineering & Applied Sciences, 1 (4), 1-25. Retrieved from http://dergipark.gov.tr/ijeas/issue/23572/251098 MLA Ng, C , Zhao, Y , Xiang, Y , Wei, G . "On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams". International Journal Of Engineering & Applied Sciences 1 (2009): 1-25 Chicago Ng, C , Zhao, Y , Xiang, Y , Wei, G . "On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams". International Journal Of Engineering & Applied Sciences 1 (2009): 1-25 RIS TY - JOUR T1 - On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams AU - C. H. W. Ng , Y. B. Zhao , Y. Xiang , G. W. Wei Y1 - 2009 PY - 2009 N1 - DO - T2 - International Journal Of Engineering & Applied Sciences JF - Journal JO - JOR SP - 1 EP - 25 VL - 1 IS - 4 SN - -1309-0267 M3 - UR - Y2 - 2018 ER - EndNote %0 International Journal Of Engineering & Applied Sciences On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams %A C. H. W. Ng , Y. B. Zhao , Y. Xiang , G. W. Wei %T On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams %D 2009 %J International Journal Of Engineering & Applied Sciences %P -1309-0267 %V 1 %N 4 %R %U ISNAD Ng, C. H. W. , Zhao, Y. B. , Xiang, Y. , Wei, G. W. . "On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams". International Journal Of Engineering & Applied Sciences 1 / 4 (Aralık 2009): 1-25.