In-plane vibration analyses of circular arches by the generalized differential quadrature rule

International Journal of Mechanical Sciences

Volumn 43, Issue 11, 2001, Pages 2597-2611

  Liu, G R ^a   Wu, T Y ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Collocation method; Differential equation; Differential quadrature method; Free vibration; Polynomial approximation; Structural arch

Indexed keywords

FINITE ELEMENT METHOD; POLYNOMIAL APPROXIMATION; VIBRATIONS (MECHANICAL);

GENERALIZED DIFFERENTIAL QUADRATURE RULES (GDQR);

ARCHES;

EID: 0035501726     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(01)00052-2     Document Type: Article

References (21)

1. Free vibrations of circular arches: A review
2. In-plane vibration of circular arches with variable cross-sections
3. A generalization of differential quadrature method
4. The differential quadrature as a numerical method to solve the differential equation
5. A generalized differential quadrature rule for initial-value differential equations
6. A generalized differential quadrature rule for analysis of thin cylindrical shells
7. Vibration analysis of beams using the generalized differential quadrature rule and domain decomposition
8. Numerical solution for differential equations of a Duffing type nonlinearity using the generalized differential quadrature rule
9. Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule
10. Axisymmetric bending solution of shells of revolution by the generalized differential quadrature rule
11. Application of the generalized differential quadrature rule to sixth-order differential equations
12. Application of the generalized differential quadrature rule to eighth-order differential equations
13. The generalized differential quadrature rule for fourth-order differential equations
14. Free vibration analysis of circular plates using the generalized differential quadrature rule
15. An application of the generalized differential quadrature rule in Blasius and Onsager equations
16. Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
17. Differential quadrature method in computational mechanics: A review
18. Vibration and buckling analysis of circular arches using DQM
19. Vibrations of non-uniform rings studied by means of the differential quadrature method
20. Vibration analysis of shear deformable circular arches by the differential quadrature method
21. Vibration analysis of horizontally curved beams with warping using DQM