Relevant bibliographies by topics / Generalized differential quadrature method

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  2. Dissertations / Theses
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Academic literature on the topic 'Generalized differential quadrature method'

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Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Generalized differential quadrature method"

1

Chen, Chang-New. "A generalized differential quadrature element method." Computer Methods in Applied Mechanics and Engineering 188, no. 1-3 (2000): 553–66. http://dx.doi.org/10.1016/s0045-7825(99)00283-2.

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Du, H., K. M. Liew, and M. K. Lim. "Generalized Differential Quadrature Method for Buckling Analysis." Journal of Engineering Mechanics 122, no. 2 (1996): 95–100. http://dx.doi.org/10.1061/(asce)0733-9399(1996)122:2(95).

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Loy, C. T., K. Y. Lam, and C. Shu. "Analysis of Cylindrical Shells Using Generalized Differential Quadrature." Shock and Vibration 4, no. 3 (1997): 193–98. http://dx.doi.org/10.1155/1997/538754.

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The analysis of cylindrical shells using an improved version of the differential quadrature method is presented. The generalized differential quadrature (GDQ) method has computational advantages over the existing differential quadrature method. The GDQ method has been applied in solutions to fluid dynamics and plate problems and has shown superb accuracy, efficiency, convenience, and great potential in solving differential equations. The present article attempts to apply the method to the solutions of cylindrical shell problems. To illustrate the implementation of the GDQ method, the frequenci
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Hajhosseini, Mohammad. "Analysis of complete vibration bandgaps in a new periodic lattice model using the differential quadrature method." Journal of Vibration and Control 26, no. 19-20 (2020): 1708–20. http://dx.doi.org/10.1177/1077546320902549.

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In this study, a new periodic lattice model with special vibration-absorbing properties is introduced. This periodic structure consists of the connected beam elements with circular cross-sections. Four models with different sets of cross-sectional radii are considered for this periodic lattice. The theoretical equations of longitudinal, torsional, and transverse vibrations of beams are solved using the combination of generalized differential quadrature and generalized differential quadrature rule methods to calculate the first three complete bandgaps. Investigating the effects of geometrical p
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Marzani, Alessandro, Francesco Tornabene, and Erasmo Viola. "Nonconservative stability problems via generalized differential quadrature method." Journal of Sound and Vibration 315, no. 1-2 (2008): 176–96. http://dx.doi.org/10.1016/j.jsv.2008.01.056.

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Bota, Constantin, Bogdan Căruntu, Mădălina Sofia Paşca, Dumitru Ţucu, and Marioara Lăpădat. "Least Squares Differential Quadrature Method for the Generalized Bagley–Torvik Fractional Differential Equation." Mathematical Problems in Engineering 2020 (July 16, 2020): 1–7. http://dx.doi.org/10.1155/2020/4806387.

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In this paper, the least squares differential quadrature method for computing approximate analytical solutions for the generalized Bagley–Torvik fractional differential equation is presented. This new method is introduced as a straightforward and accurate method, fact proved by the examples included, containing a comparison with previous results obtained by using other methods.
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Ferreira, A. J. M., E. Viola, F. Tornabene, N. Fantuzzi, and A. M. Zenkour. "Analysis of Sandwich Plates by Generalized Differential Quadrature Method." Mathematical Problems in Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/964367.

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We combine a layer-wise formulation and a generalized differential quadrature technique for predicting the static deformations and free vibration behaviour of sandwich plates. Through numerical experiments, the capability and efficiency of this strong-form technique for static and vibration problems are demonstrated, and the numerical accuracy and convergence are thoughtfully examined.
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Du, H., M. K. Lim, and R. M. Lin. "Application of generalized differential quadrature method to structural problems." International Journal for Numerical Methods in Engineering 37, no. 11 (1994): 1881–96. http://dx.doi.org/10.1002/nme.1620371107.

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Yuan, Haiyan, and Cheng Song. "Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Volterra Delay Integro-Differential Equations." Abstract and Applied Analysis 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/679075.

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This paper introduces the stability and convergence of two-step Runge-Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro-differential equations. First, the definitions of(k,l)-algebraically stable and asymptotically stable are introduced; then the asymptotical stability of a(k,l)-algebraically stable two-step Runge-Kutta method with0<k<1is proved. For the convergence, the concepts ofD-convergence, diagonally stable, and generalized stage order are firstly introduced; then it is proved by some theorems that if a two-step Runge-Kutta method is algeb
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Sari, Murat, and Gürhan Gürarslan. "Numerical Solutions of the Generalized Burgers-Huxley Equation by a Differential Quadrature Method." Mathematical Problems in Engineering 2009 (2009): 1–11. http://dx.doi.org/10.1155/2009/370765.

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Numerical solutions of the generalized Burgers-Huxley equation are obtained using a polynomial differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a low-storage third-order total variation diminishing Runge-Kutta scheme in time has been used. The computed results with the use of this technique have been compared with the exact solution to show the required accuracy of it. Since the scheme is explicit, linearization is not needed and the approximate solution to the nonlinear equation i
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Dissertations / Theses on the topic "Generalized differential quadrature method"

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Fantuzzi, Nicholas <1984&gt. "Generalized Differential Quadrature Finite Element Method applied to Advanced Structural Mechanics." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amsdottorato.unibo.it/5932/1/fantuzzi_nicholas_tesi.pdf.

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Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems. There has been an increase in this topic by several researchers who experienced significant development in the last years. DQ is essentially a generalization of the popular Gaussian Quadrature (GQ) used for numerical integration functions. GQ approximates a finite in- tegral as a weighted sum of integrand values at selected points in a problem domain whereas DQ approximate the derivatives of a smooth function
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Fantuzzi, Nicholas <1984&gt. "Generalized Differential Quadrature Finite Element Method applied to Advanced Structural Mechanics." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amsdottorato.unibo.it/5932/.

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Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems. There has been an increase in this topic by several researchers who experienced significant development in the last years. DQ is essentially a generalization of the popular Gaussian Quadrature (GQ) used for numerical integration functions. GQ approximates a finite in- tegral as a weighted sum of integrand values at selected points in a problem domain whereas DQ approximate the derivatives of a smooth function
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3

Akman, Makbule. "Differential Quadrature Method For Time-dependent Diffusion Equation." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1224559/index.pdf.

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This thesis presents the Differential Quadrature Method (DQM) for solving time-dependent or heat conduction problem. DQM discretizes the space derivatives giving a system of ordinary differential equations with respect to time and the fourth order Runge Kutta Method (RKM) is employed for solving this system. Stabilities of the ordinary differential equations system and RKM are considered and step sizes are arranged accordingly. The procedure is applied to several time dependent diffusion problems and the solutions are presented in terms of graphics comparing with the exact solutions. Thi
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Challa, Subhash. "Nonlinear state estimation and filtering with applications to target tracking problems." Thesis, Queensland University of Technology, 1998.

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Shu, Chang. "Generalized differential-integral quadrature and application to the simulation of incompressible viscous flows including parallel computation." Thesis, University of Glasgow, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.361006.

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Moradi, Shapour. "Application of differential quadrature method to the analysis of delamination buckling of laminated composites." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0008/NQ39323.pdf.

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Van, der Walt Jan Harm. "Generalized solutions of systems of nonlinear partial differential equations." Thesis, Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-05242009-122628.

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Mirfakhraei, Pirooz. "Application of the differential quadrature method to the buckling analysis of cylindrical shells and tanks." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0021/NQ46534.pdf.

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Kurus, Gulay. "Solution Of Helmholtz Type Equations By Differential Quadarature Method." Master's thesis, METU, 2000. http://etd.lib.metu.edu.tr/upload/2/12605383/index.pdf.

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This thesis presents the Differential Quadrature Method (DQM) for solving Helmholtz, modified Helmholtz and Helmholtz eigenvalue-eigenvector equations. The equations are discretized by using Polynomial-based and Fourier-based differential quadrature technique wich use basically polynomial interpolation for the solution of differential equation.
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Cao, Jiguo. "Generalized profiling method and the applications to adaptive penalized smoothing, generalized semiparametric additive models and estimating differential equations." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=102483.

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Many statistical models involve three distinct groups of variables: local or nuisance parameters, global or structural parameters, and complexity parameters. In this thesis, we introduce the generalized profiling method to estimate these statistical models, which treats one group of parameters as an explicit or implicit function of other parameters. The dimensionality of the parameter space is reduced, and the optimization surface becomes smoother. The Newton-Raphson algorithm is applied to estimate these three distinct groups of parameters in three levels of optimization, with the gradients a
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Books on the topic "Generalized differential quadrature method"

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Atkins, H. L. Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Chi-Wang, Shu, and Langley Research Center, eds. Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations. National Aeronautics and Space Administration , Langley Research Center, 1996.

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Chi-Wang, Shu, and Langley Research Center, eds. Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations. National Aeronautics and Space Administration , Langley Research Center, 1996.

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Chi-Wang, Shu, and Langley Research Center, eds. Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations. National Aeronautics and Space Administration , Langley Research Center, 1996.

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Cartan, Elie. The method of the moving frame: The theory of continuous groups and generalized spaces. [s.n.], 1989.

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International Conference on Computational Mathematics. The International Conference on Computational Mathematics: Proceedings. ICM&MG, 2002.

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A Differential Quadrature Hierarchical Finite Element Method. World Scientific Publishing Company, 2021.

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Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations. National Aeronautics and Space Administration , Langley Research Center, 1996.

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9

Tornabene, Francesco, Michele Bacciocchi, Nicholas Fantuzzi, and Erasmo Viola. Laminated Composite Doubly-Curved Shell Structures. Differential and Integral Quadrature Strong Formulation Finite Element Method. Società Editrice Esculapio, 2016. http://dx.doi.org/10.15651/978-88-748-8958-7.

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Book chapters on the topic "Generalized differential quadrature method"

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Kılıçarslan, Doğuhan, Güneş Kösterit, and Ender Cigeroglu. "Frequency Domain Analysis of Aeroelastic Flutter Problem of Planar Structures Using Generalized Differential Quadrature Method." In Conference Proceedings of the Society for Experimental Mechanics Series. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-68188-2_13.

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Peterson, Andrew F., and Malcolm M. Bibby. "Generalized Gaussian Quadrature." In An Introduction to the Locally-Corrected Nyström Method. Springer International Publishing, 2010. http://dx.doi.org/10.1007/978-3-031-01710-0_5.

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Du, H., and M. K. Lim. "Generalized Differential Quadrature Techniques in Structural Systems." In Structural Dynamic Systems Computational Techniques and Optimization. CRC Press, 2024. https://doi.org/10.1201/9781003580720-3.

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Shu, Chang. "Miscellaneous Applications of Differential Quadrature Method." In Differential Quadrature and Its Application in Engineering. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0407-0_8.

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Arora, G., and M. Bashir. "Differential Quadrature Method: A Robust Technique to Solve Differential Equations." In Mathematics Applied to Engineering and Management. CRC Press, 2019. http://dx.doi.org/10.1201/9781351123303-7.

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Shu, Chang. "Generalized Integral Quadrature (GIQ) and Its Application to Solve Boundary Layer Equations." In Differential Quadrature and Its Application in Engineering. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0407-0_10.

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Shu, Chang. "Application of Differential Quadrature Method to Structural and Vibration Analysis." In Differential Quadrature and Its Application in Engineering. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0407-0_7.

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Shu, Chang. "Application of Differential Quadrature Method to Solve Incompressible Navier-Stokes Equations." In Differential Quadrature and Its Application in Engineering. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0407-0_6.

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Karunakar, P., and S. Chakraverty. "Differential Quadrature Method for Solving Fifth-Order KdV Equations." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0287-3_26.

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Mittal, R. C., and Sumita Dahiya. "Numerical Solutions of Differential Equations Using Modified B-spline Differential Quadrature Method." In Mathematical Analysis and its Applications. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2485-3_42.

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Conference papers on the topic "Generalized differential quadrature method"

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Abreu, Willian Vieira, Adilson Costa Silva, Alessandro da Gonçalves, and Aquilino Martinez. "A Generalized Differential Equation and Numerical Method for the Standard and Deformed Doppler Broadening Functions." In International Conference on Physics of Reactors (PHYSOR 2024). American Nuclear Society, 2024. http://dx.doi.org/10.13182/physor24-43313.

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Mesˇtrovic´, Mladen. "Generalized Differential Quadrature Method for Burgers Equation." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-1905.

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The generalized differential quadrature method as an accurate and efficient numerical method is developed for the Burgers equation. The numerical algorithm for this class of problem is presented. Differential quadrature approximation of needed derivatives is given by a weighted linear sum of the function values at grid points. Recurrence relationship is used for calculation of weighting coefficients. The calculated numerical results are compared with exact solutions to show the quality of the generalized differential quadrature solutions for each example. Numerical examples have shown accuracy
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CHEN, CHANG-NEW. "A GENERALIZED COORDINATE DIFFERENTIAL QUADRATURE ELEMENT METHOD." In Proceedings of the Fourth International Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814291071_0079.

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Kuang, J. H., and M. H. Hsu. "Eigen Solutions of Grouped Turbo Blades Solved by the Generalized Differential Quadrature Method." In ASME Turbo Expo 2001: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/2001-gt-0273.

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The eigenvalue problems of grouped turbo blades were numerically formulated by using the generalized differential quadrature method (GDQM). Different boundary approaches accompanying the GDQM to transform the partial differential equations of grouped turbo blades into a discrete eigenvalue problem are discussed. Effects of the number of sample points and the different boundary approaches on the accuracy of the calculated natural frequencies are also studied. Numerical results demonstrated the validity and the efficiency of the GDQM in treating this type of problem.
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Chen, Chang-New. "Development of Differential Quadrature Related Generalized Methods, Discrete Element Analysis Methods and EDQ Based Time Integration Methods." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71414.

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Development of differential quadrature related generalized methods, discrete element analysis methods and EDQ based time integration methods has been carried out the last few years. The related numerical algorithms are summarized and presented. Numerical results are also presented.
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Baskaya, Elgiz, Melih Fidanoglu, Guven Komurgoz, and Ibrahim Ozkol. "Investigation of MHD Natural Convection Flow Exposed to Constant Magnetic Field via Generalized Differential Quadrature Method." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20177.

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In this work, nanofluid flow characteristics of an inclined channel flow exposed to constant magnetic field and pressure gradient is investigated. The nanofluid considered is water based Cu nanoparticles with a volume fraction of 0.06. The viscous dissipation is taken into account in the energy equation and the governing differential equations are nondimensionalized. The coupled one dimensional differential equations are solved via Generalized Differential Quadrature Method (GDQM) discretization followed by Newton Raphson method. Furthermore, the effect of magnetic field, inclination angle of
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Bakhtiari-Nejad, Firooz, Mahnaz Shamshirsaz, Mohammad Mohammadzadeh, and Sasan Samie. "Free Vibration Analysis of FG Skew Plates Based on Second Order Shear Deformation Theory." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34085.

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In this paper free vibration analysis of skew plates with fully clamped boundary condition made of functionally graded materials is investigated. The study is based on the second order shear deformation plate theory (SSDT) using Generalized Differential Quadrature (GDQ) method. With a proper transformation, partial differential equations of a rectangular plate in Cartesian coordinates into skew coordinates are obtained; the governing differential equations are seven second order partial differential equations. The comparison of simulation results with those presented previously in the literatu
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Tornabene, F. "Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-20.

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Abstract. In the present work, a two-dimensional model based on a higher order Layer-Wise (LW) approach is presented for the static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology is also obtained as particular case of LW. Each lamina of the stacking sequence is modelled as an anisotropic continuum. The fundamental equations account for both surface and concentrated loads, as well as the effects of the Winkler-Pasternak foundation. Moreover, non-conventional boundary conditions are introduced, and the numerical solution is asses
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Farzaneh, Eshagh, Oumar Barry, and Pablo Tarazaga. "Piezoelectric Vibration Control of a Sandwich Beam With Tip Mass." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/smasis2018-8127.

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This paper studies the vibration mitigation of a sandwich beam with tip mass using piezoelectric active control. The core of the sandwich beam is made of foam and the face sheets are made of steel with a bonded piezoelectric actuator and sensor. The three-layer sandwich beam is clamped at one end and carries a payload at the other end. The tip mass is such that its center of mass is offset from the point of attachment. The extended higher-order sandwich panel (HSAPT) theory is employed in conjunction with the Hamilton’s principle to derive the governing equations of motion and boundary conditi
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WU, T. Y., Y. Y. WANG, and G. R. LIU. "THE GENERALIZED DIFFERENTIAL QUADRATURE RULE." In Proceedings of the International Conference on Scientific and Engineering Computation (IC-SEC) 2002. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2002. http://dx.doi.org/10.1142/9781860949524_0150.

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