Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces

Sugiyama, Yoshihiko; Kawagoe, Haruo

doi:10.1016/s0022-460x(75)80051-4

Cited by 47 publications

(11 citation statements)

References 9 publications

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“…If small internal damping is included, divergence and #utter coincide at "0)5. It is worth noticing that the stability map for the cantilever with a partial, distributed follower force is very similar [30,34]. Also here, the divergence-#utter transition takes place at "0)5.…”

Section: Stability Criteriamentioning

confidence: 66%

“…This has been studied by Sugiyama and Kawagoe [34], and by Sugiyama and Mladenov [30] (see also section 2.9).…”

Section: Boundary Value Problemmentioning

confidence: 92%

“…Sugiyama and Kawagoe [34], and Sugiyama and Mladenov [30] studied the dynamics of columns subjected to the combined action of uniformly distributed vertical and tangential forces, thus generalizing Leipholz's column. Six boundary conditions were considered.…”

Section: The Influence Of Geometry and Various Boundary Conditionsmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Langthjem

Sugiyama

2000

Journal of Sound and Vibration

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190

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Section: Stability Criteriamentioning

confidence: 66%

“…This has been studied by Sugiyama and Kawagoe [34], and by Sugiyama and Mladenov [30] (see also section 2.9).…”

Section: Boundary Value Problemmentioning

confidence: 92%

See 1 more Smart Citation

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Langthjem

Sugiyama

2000

Journal of Sound and Vibration

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190

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“…The numerical method utilized to this end is the finite difference method, as in [17]. It allows us to compute the eigenvalues ω and the eigenvectors ϕ, such that…”

Section: B Effect Of Lengthmentioning

confidence: 99%

Untitled

Langre

Doaré

2015

J. Mech. Mater. Struct.

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The linear instability of a beam tensioned by its own weight is considered. It is shown that for long beams, in the sense of an adequate dimensionless parameter, the characteristics of the instability caused by a follower force do not depend on the length. The asymptotic regime significantly differs from that of short beams: flutter prevails for all types of follower loads, and flutter is localized at the edge of the beam. An approximate solution using matched assymptotic expansion is proposed for the case of a semi-infinite beam. Using a local criterion based on the stability of waves, the characteristics of this regime as well as its range of application can be well predicted. These results are finally discussed in relation with cases of flow-induced instabilities of slender structures.

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“…Early work on the nonconservative instability under uniformly distributed follower loads mostly involved one dimensional elastic structures, namely, columns (Sugiyama and Kawagoe, 1975;Leipholz, 1975;Chen and Ku, 1991). Stability of columns under triangularly distributed loads was studied by Leipholz and Bhalla (1977), Sugiyama and Mladenov (1983) and Ryu et al (2000).…”

Section: Introductionmentioning

confidence: 99%

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

Robinson

Adali

2017

jtam

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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

Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces

Cited by 47 publications

References 9 publications

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Untitled

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

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