Results 211 to 220 of about 2,690,813 (243)
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In-Plane Vibration Analyses of Circular Arches by the Generalized Differential Quadrature Rule
International Journal of Mechanical Sciences, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T Y Wu, G R Liu
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Application of the Generalized Differential Quadrature Rule to Eighth-Order Differential Equations
Communications in Numerical Methods in Engineering, 2001AbstractThis work extends the application of the generalized differential quadrature rule (GDQR) to an eighth‐order boundary‐value differential equation with four boundary conditions at boundaries. The differential quadrature expression and explicit weighting coefficients for the eighth‐order differential equation are formulated for a first time to ...
G R Liu
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The Generalized Differential Quadrature Rule for Fourth-Order Differential Equations
International Journal for Numerical Methods in Engineering, 2001AbstractThe generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐order differential equations. The improved approach is completely exempted from the use of the existing δ‐point technique by applying multiple conditions in a rigorous manner.
G R Liu
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Application of Generalized Differential Quadrature Rule to Sixth-Order Differential Equations
Communications in Numerical Methods in Engineering, 2000This paper deals with a general numerical method to solve high-order differential equations. This method regards the function values at all grid points and their derivatives at grid points wherever necessary as independent variables. A procedure for calculating weighting coefficients explicitly for an easy and accurate implementation of the generalized
G R Liu
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Application of Generalized Differential Quadrature Rule in Blasius and Onsager Equations
International Journal for Numerical Methods in Engineering, 2001AbstractThe generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to third‐order non‐linear differential equations of the Blasius type and to sixth‐order linear Onsager differential equations. High (⩾3rd)‐order differential equations in fluid mechanics are dealt with without using δ‐point techniques.
G R Liu
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The Generalized Differential Quadrature Rule for Initial-Value Differential Equations
Journal of Sound and Vibration, 2000Summary: The generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to solve initial-value differential equations of the 2nd to 4th order. Differential quadrature expressions are derived based on the GDQR for these equations. The Hermite interpolation functions are used as trial functions to obtain the explicit
T Y Wu, G R Liu
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Applied Mathematical Modelling, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sedaghat Shahmorad
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International Journal of Pressure Vessels and Piping, 2000
A generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to obtain the axisymmetric bending solution of shells of revolution, which includes both long and short cylinders and storage tanks with stepped wall thickness. The boundary conditions for long cylinders are simplified in a practical way.
G R Liu
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A generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to obtain the axisymmetric bending solution of shells of revolution, which includes both long and short cylinders and storage tanks with stepped wall thickness. The boundary conditions for long cylinders are simplified in a practical way.
G R Liu
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International Journal of Solids and Structures, 2001
The generalized differential quadrature rule proposed recently by these authors is applied here to the free vibration analyses of solid circular plates with radially varying thickness and elastic restraints. The thickness can vary radially in any given continuous form, and it varies exponentially and linearly in this work.
T Y Wu, G R Liu
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The generalized differential quadrature rule proposed recently by these authors is applied here to the free vibration analyses of solid circular plates with radially varying thickness and elastic restraints. The thickness can vary radially in any given continuous form, and it varies exponentially and linearly in this work.
T Y Wu, G R Liu
exaly +2 more sources
Free Vibration Analysis of Circular Plates Using Generalized Differential Quadrature Rule
Computer Methods in Applied Mechanics and Engineering, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T Y Wu, G R Liu
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