THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD

Gaik A. Manuylov

For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the deflection at the point of application of the concentrated force, the critical force of uniform compression, and the first eigenfrequency. The lateral movements were approximated by special functions having level lines similar to the plate contour. The results of calculating the plate in the form of a pear-shaped oval are presented, which are in good agreement with the two-sided geometric estimates of the corresponding solutions

Access

Page navigation

Document information

Export, share and cite

THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD

Gaik A. Manuylov

For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the deflection at the point of application of the concentrated force, the critical force of uniform compression, and the first eigenfrequency. The lateral movements were approximated by special functions having level lines similar to the plate contour. The results of calculating the plate in the form of a pear-shaped oval are presented, which are in good agreement with the two-sided geometric estimates of the corresponding solutions

THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD

Gaik A. Manuylov

For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the deflection at the point of application of the concentrated force, the critical force of uniform compression, and the first eigenfrequency. The lateral movements were approximated by special functions having level lines similar to the plate contour. The results of calculating the plate in the form of a pear-shaped oval are presented, which are in good agreement with the two-sided geometric estimates of the corresponding solutions

Access

Page navigation

Document information

Export, share and cite

Document information

Title:

THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD

Contributors:

Gaik A. Manuylov (author)

Published in:

International Journal for Computational Civil and Structural Engineering, Vol 13, Iss 4 (2017)

Publication date:

2017

ISSN:

2587-9618 , 2588-0195

DOI:

https://doi.org/10.22337/2587-9618-2017-13-4-121-127

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Keywords:

Rayleigh-Ritz method, deflection, eigenfrequency, loss of stability, plate , Materials of engineering and construction. Mechanics of materials , TA401-492

Metadata by DOAJ is licensed under CC BY-SA 1.0

Similar titles

Rayleigh-Ritz Solution for Simply Supported Thick Orthotropic Plates

Rode, V. / Meghre, A. S. | British Library Online Contents | 2005

Inelastic buckling of rectangular steel plates using a Rayleigh-Ritz method

Smith, S. T. / Bradford, M. A. / Oehlers, D. J. | UB Braunschweig | 1999

Inelastic buckling of rectangular steel plates using a Rayleigh-Ritz method

Smith, S. T. / Bradford, M. A. / Oehlers, D. J. | TIBKAT | 1999

Rayleigh-Ritz method for plate flexure

Walker, A.C. | Engineering Index Backfile | 1967

Rayleigh-Ritz Analysis of Generally Orthotropic Composite Plates on Winkler Foundations

Venini, P. / Mariani, C. | British Library Conference Proceedings | 1994