Dynamic stability of a non-conservative viscoelastic rectangular plate

Wang, Zhongmin; Zhou, Yin-Feng; Wang, Yan

doi:10.1016/j.jsv.2007.07.003

Cited by 13 publications

(9 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two boundary conditions are investigated, namely, simple supports and a combination of simple and fixed supports. The solution is verified against the previous results obtained for SSSS and CSCS viscoelastic plates subject to uniformly distributed tangential loads by Wang et al (2007).…”

Section: Discussionsupporting

confidence: 68%

“…The results for the viscoelastic plate subject to a triangularly distributed tangential force are given in comparison to the results for a viscoelastic plate subject to a uniformly distributed tangential force which was studied in Wang et al (2007) and Zhou and Wang (2014). The results for the SSSS and CSCS boundary conditions are given in Table 1 for H = 10 −5 (nondimensional viscoelasticity coefficient).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The bulk modulus K and shear modulus G can be expressed in terms of Young's modulus E and Poisson's ratio ν as K = E/3(1 − 2ν) and G = E/(1 + 2ν). The equation of vibration of the viscoelastic plate subject to a triangular follower load is first obtained in the Laplace domain (see Wang et al, 2007;Zhou and Wang, 2014). By the inverse Laplace transformation, the governing equation can be expressed in the time domain as…”

Section: Viscoelastic Plate Subject To Triangularly Distributed Loadmentioning

confidence: 99%

“…Recently, the dynamic stability of viscoelastic plates has been studied for a number of cases (Ilyasov and Aköz, 2000;Wang et al, 2007Wang et al, , 2009Wang et al, , 2013Zhou and Wang, 2014;Robinson and Adali, 2016). Vibrations of a simply supported plate with nonlinear strain-displacement relations and subject to a uniformly distributed tangential force were studied by Robinson (2013).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

Robinson

Adali

2017

jtam

View full text Add to dashboard Cite

Divergence and flutter instabilities of viscoelastic rectangular plates under triangularly distributed tangential follower loads are studied. Two sets of boundary conditions are considered, namely, simply supported plates and plates with a combination of clamped and simply supported edges. The constitutive relations for the viscoelastic plates are of Kelvin-Voigt type with the effect of viscoelasticity on stability studied numerically. The method of solution is differential quadrature which is employed to discretize the equation of motion and the boundary conditions leading to a generalized eigenvalue problem. After verifying the method of solution, numerical results are given for the real and imaginary parts of the eigenfrequencies to investigate flutter and divergence characteristics and dynamic stability of the plates with respect to various problem parameters.

show abstract

Section: Discussionsupporting

confidence: 68%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Viscoelastic Plate Subject To Triangularly Distributed Loadmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

Robinson

Adali

2017

jtam

View full text Add to dashboard Cite

show abstract

“…Equation 30is reduced to the complex eigenvalue equation of the elastic plate. In order to verify the DQM program, the first three-order natural frequencies of the transverse free vibration of elastic plate with four-edge simply supported boundary conditions are calculated firstly, and the results are in good agreement with those exhibited in [31], which can be seen from Table 1.…”

Section: Resultsmentioning

confidence: 61%

Stability of Axially Moving Piezolaminated Viscoelastic Plate Subjected to Follower Force

Wang

Tao

et al. 2015

Advances in Materials Science and Engineering

Self Cite

View full text Add to dashboard Cite

The stability of the moving viscoelastic plate with the piezoelectric layer subjected to uniformly distributed tangential follower force is investigated. The force excited by the piezoelectric layer due to external voltage is modeled as the follower tensile force. The differential equation of the axially moving viscoelastic rectangular plate with piezoelectric layer subjected to uniformly distributed tangential follower force is formulated on the basis of the Kirchhoff thin plate theory and the two-dimensional viscoelastic differential constitutive relation. The complex eigenvalue equations are established by the differential quadrature method. Via numerical calculation, the curves of real parts and imaginary parts of dimensionless complex frequencies versus uniformly distributed tangential follower force and dimensionless moving speed are obtained. The effects of nonconservative force, dimensionless axially moving speed, and dimensionless applied voltages on the stability of axially moving nonconservative viscoelastic plate with piezoelectric layer are analyzed.

show abstract

Exact solutions for the stability of viscoelastic rectangular plate subjected to tangential follower force

Zhou

Wang

2014

Arch Appl Mech

View full text Add to dashboard Cite

Dynamic stability of a non-conservative viscoelastic rectangular plate

Cited by 13 publications

References 12 publications

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

Stability of Axially Moving Piezolaminated Viscoelastic Plate Subjected to Follower Force

Exact solutions for the stability of viscoelastic rectangular plate subjected to tangential follower force

Contact Info

Product

Resources

About