Methods in Transient Stress Analysis

Bisplinghoff, R. L.

doi:10.2514/8.1613

Cited by 8 publications

(4 citation statements)

References 3 publications

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“…Here we assume that those values are very large compared to all other quantities of interest. 2 The second equality in (7) follows from the well known identity…”

Section: The Thin Barmentioning

confidence: 99%

“…The factor (−1) λ/L accounts for the fact that the left edge (λ = 0) and the right edge (λ = L) exert, respectively, an expansion or a compression, when their velocity is positive. The force on each point of the edges' surface, contrasting the edges' velocity, is 7 :…”

Section: Steel Bar Datamentioning

confidence: 99%

“…The dynamics of free bodies, under the action of short-time contact forces, is usually approached as impact [3,4] or bounching problems [5,6], with special reference to the resulting deformations. In focusing attention on long-time contact forces in free bodies, we deal with a problem that seems to have attracted less interest, apart from aereo-spatial engineering [7,8]. However, the relationship between beating and pushing just entails that kind of long-time dynamics.…”

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confidence: 99%

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Why pushing a bell does not produce a sound

Ferrari¹

2019

American Journal of Physics

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The difference between 'beating' and 'pushing' results in the perception that a push just makes the object move as a whole, while a beat produces also a sound. Through a detailed analysis of the physics underlying such everyday experiences, we identify the strength, the duration and the softness of the applied contact force, as the main (measurable) characteristics that mark such difference. The strength determines the final velocity ∆v achieved by the body. The duration 2τ compares to the time τ the sound takes to cross the body. The softness γ (a positive exponent) results from the shape in time of the contact force. Those three elements enter the formula for the intensity of the sound produced. The relevant role of the softness is stressed and specific values are calculated for a thin metallic bar, chosen as the simplest possible model system.

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“…Here we assume that those values are very large compared to all other quantities of interest. 2 The second equality in (7) follows from the well known identity…”

Section: The Thin Barmentioning

confidence: 99%

Section: Steel Bar Datamentioning

confidence: 99%

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confidence: 99%

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Why pushing a bell does not produce a sound

Ferrari¹

2019

American Journal of Physics

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“…The use of steady-etate solutions to obtain a transient response has also becen suggested by Ref. 8 for systems in which damping provides the mechanism for bringing the syste'% ro rest.…”

Section: Section II Ntdirutsi'n Nf Awatvctcmentioning

confidence: 99%

Dynamic Stresses in a Thick Elastic Cylinder Subject to Transient Pressure Loadings. Volume 1: Theoretical Analysis and Discussion of Results

Garnet¹,

Crouzet-Pascal²,

Isakson³

et al. 1965

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Modal methods in the dynamics of systems with non‐classical damping

Traill-Nash

1981

Earthq Engng Struct Dyn

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When damping in a system is both significantly high and its distribution is non-classical the solution of dynamical problems by conventional modal analysis is complicated by the presence of coupling between the normal co-ordinates. Further, the convergence of a solution may be erratic with successive modal additions, leading to the need to include a larger number ofmodes than would otherwise be expected. Jn this paper methods of modal analysis in structural dynamics are discussed and their derivations briefly given. These include the conventional mode displacement method and the force summation method, employing normal modes, and the analogous procedures with damped modes. In the latter, dynamic response equations are not coupled. Dynamic loading solutions by the four approaches, each taking account of the nonclassical damping distribution, are demonstrated with a simple model representing a structure on a compliant foundation. The results strongly suggest that the use of damped modes with force summation could be the most effective procedure when damping is non-classical.OO98-8847/8 1 /020 1 5 3-1 7$0 1 .OO 0

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Methods in Transient Stress Analysis

Cited by 8 publications

References 3 publications

Why pushing a bell does not produce a sound

Why pushing a bell does not produce a sound

Dynamic Stresses in a Thick Elastic Cylinder Subject to Transient Pressure Loadings. Volume 1: Theoretical Analysis and Discussion of Results

Modal methods in the dynamics of systems with non‐classical damping

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