An analytical procedure to study vibration of rectangular plates under non-uniform in-plane loads based on first-order shear deformation theory

Abolghasemi, Saeed; Eipakchi, Hamidreza; Shariati, Mahmoud

doi:10.1007/s00419-015-1066-8

Cited by 13 publications

(8 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Boundary conditions Q α Reference [4] Reference [27] Present study SCSC 0.67 0 68.800 (1) 68.816 (1) 68.816 (1) 0.66 0.5 91.430 (1) 92.415 (1) 91.429 (1) SSSC 0. 8 0 53.390 (1) 53.393 (1) 53.393 (1) 0.78 0.5 68.480 (1) 68.977 (1) 68.522 (1) SSSS 1 0 39.480 (1) 39.478 (1) 39.478 (1) 1 0.5 52.490 (1) 50.673 (1) 52.494 (1) SSSF 10 0 4.200 (1) 4.282 (1) 4.295 (1) 10 0.5 6.700 (1) 6.765 (1) 6.871 (1) (1) 212.744 (1) 259.352 (2) 212.744 (2) 259.352 (4) 209.274 (3) 257.272 (22) 208.731 (16)…”

Section: The Effect Of Ratio Of Elasticity Modulus and The Methods Of mentioning

confidence: 99%

“…208.335 (1) 183.772 (1) 208.335 (2) 163.709 (1) 201.970 (3) 163.709 (2) 201.950 (16) 163.645 (11) 2 SCSC 219.123 (1) 179.152 (1) 219.123 (2) 169.472 (1) 219.123 (4) 168.237 (3) 219.123 (20) 167.025 (13)…”

Section: Sssfunclassified

“…210.403 (1) 172.771 (1) 210.403 (2) 156.430 (1) 210.403 (4) 156.430 (2) 209.626 (18) 156.086 (11) SSSF 202.827 (1) 172.694 (1) 202.827 (2) 155.480 (1) 198.124 (3) 155.480 (2) 197.631 (16) 155.239 (11) (1) 275.596 (1) 364.568 (2) 242.359 (1) 364.568 (4) 242.359 (2) 364.568 (20) 241.529 (11)…”

Section: Ssssunclassified

“…Abolghasemi et al, investigated the buckling of rectangular plates under non-uniform in-plane load, using the first-order shear deformation theory. The results were compared with the numerical solutions and those of the classical theory [16]. Orthotropic plates had high efficiency in civil infrastructure and other structural applications, because, they had such advantages as high stiffness ratio and resistance versus weight.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An exact solution for stability analysis of orthotropic rectangular thin plate under biaxial nonlinear in-plane loading resting on Pasternak foundation

Shahraki

Farhatnia

Raeesi

2016

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

Section: The Effect Of Ratio Of Elasticity Modulus and The Methods Of mentioning

confidence: 99%

Section: Sssfunclassified

Section: Ssssunclassified

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An exact solution for stability analysis of orthotropic rectangular thin plate under biaxial nonlinear in-plane loading resting on Pasternak foundation

Shahraki

Farhatnia

Raeesi

2016

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…Buckling of the thin rectangular plate subjected to parabolic in-plane loading along two opposite edges is analyzed using the DQM. 31,32 First, the in-plane elasticity problem was solved to obtain the distribution of in-plane stresses, and then critical buckling load was computed. The results were validated with NASTRAN results.…”

Section: Introductionmentioning

confidence: 99%

Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation

Kumar

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

In this work, the analytical investigation for pre-buckling vibration and buckling analyses of a composite skew plate subjected to parabolically and linearly varying in-plane edge load are presented. When the composite skew plate is subjected to parabolic (non-uniform) in-plane edge loading, the pre-buckling stresses within the composite skew plate are not known a priori. To estimate the pre-buckling stresses within the composite skew plate for which the in-plane elasticity problem is solved by minimizing the membrane strain energy using the Ritz method. It is observed that the rate of diffusion of applied parabolic in-plane edge load within the skew plate to a state of uniform in-plane stress is faster in the case of isotropic material than composite material. Using estimated pre-buckling stresses, the total energy functional is derived from the total strain energy, potential energy, and kinetic energy. The total energy functional is reduced into sets of an ordinary differential equation and algebraic equation, respectively for pre-buckling vibration and buckling problems using the Ritz method in conjunction with BCOPs. The associated linear eigenvalue problems are solved to compute the pre-buckling vibration frequency and buckling load of the stressed skew plate. The outcome of the study may provide crucial inputs in the design of skewed bridge decks, ship structures, and aircraft wing design.

show abstract

Free vibration analysis of a flat stiffened plate with side crack through the Ritz method

Xue

Wang

2019

Arch Appl Mech

View full text Add to dashboard Cite

An analytical procedure to study vibration of rectangular plates under non-uniform in-plane loads based on first-order shear deformation theory

Cited by 13 publications

References 34 publications

An exact solution for stability analysis of orthotropic rectangular thin plate under biaxial nonlinear in-plane loading resting on Pasternak foundation

An exact solution for stability analysis of orthotropic rectangular thin plate under biaxial nonlinear in-plane loading resting on Pasternak foundation

Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation

Free vibration analysis of a flat stiffened plate with side crack through the Ritz method

Contact Info

Product

Resources

About