Vibrations of Shells and Plates, Third Edition

Soedel, W.; Qatu, Mohamad S.

doi:10.1121/1.1873932

Cited by 42 publications

(65 citation statements)

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“…According to the basic expression of cylindrical shell, the maximum kinetic energy of the vibration [16] can be expressed as:…”

Section: Damping Ratiomentioning

confidence: 99%

Analysis of dry friction damping characteristics for short cylindrical shell structures

Wang¹,

Wang²

2018

AIP Conference Proceedings

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Abstract. An efficient mathematical model to describe the friction of short cylindrical shell structures with a dry friction damping sleeve is proposed. The frictional force in the circumference and axial direction is caused by the opposing bending strains at the interface. Slipping will occur at part region of the interface and the mathematic model of the slipping region is established. Ignoring the effect of contact stiffness on the vibration analysis, the friction energy dissipation capability of damping sleeve would be calculated. Structural vibration mode, positive pressure at the interface and vibration stress of the short cylindrical shell structures is analyzed as influence factors to the critical damping ratio. The results show that the circumferential friction energy dissipation is more sensitive to the number of nodal diameter, and the circumferential friction damping ratio increases rapidly with the number of nodal diameter. The slipping frictional force would increase along with the positive pressure, but the slipping region would decrease with it. The peak damping ratio keeps nearly constant. But the vibration stress corresponding to peak damping ratio would increases with the positive pressure. The dry friction damping ratio of damping sleeve contains the effect of frictional force in the circumference and axial direction, and the axial friction plays a major role.

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“…According to the basic expression of cylindrical shell, the maximum kinetic energy of the vibration [16] can be expressed as:…”

Section: Damping Ratiomentioning

confidence: 99%

Analysis of dry friction damping characteristics for short cylindrical shell structures

Wang¹,

Wang²

2018

AIP Conference Proceedings

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show abstract

“…Since this treatment is quite consolidated [37][38][39][40], and the present work focuses on the Fourier series form of the equilibrium operator, for conciseness, we hereby present the displacement formulation in the so called harmonic form, postponing notations and the above recalled intermediate derivations to Appendices A and B.…”

Section: Equilibriummentioning

confidence: 99%

“…Equation (5), are defined in Fourier series form, through the linear differential (8-row by 5-column) matrix operator A (j) which gives the 8 strain components harmonic amplitudes ε (j) (z), viz. Equation (40) in terms of the 5 displacement components harmonic amplitudes u (j) (z), viz. Equation (36):…”

Section: Fourier Series Expansionsmentioning

confidence: 99%

NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution

Bellis

Artioli

2016

Metals

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Abstract:In this work we present a collocation method for the structural analysis of shells of revolution based on Non-Uniform Rational B-Spline (NURBS) interpolation. The method is based on the strong formulation of the equilibrium equations according to Reissner-Mindlin theory, with Fourier series expansion of dependent variables, which makes the problem 1D. Several numerical tests validate convergence, accuracy, and robustness of the proposed methodology, and its feasibility as a tool for the analysis and design of complex shell structures.

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“…(b) Vibrations of elastic shells are of permanent interest to engineers (see, e.g. [30], [33].) An elastic ring may be viewed as a short cylindrical shell.…”

Section: The Model Main Assumptionsmentioning

confidence: 99%

Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension

Avdonin

Belinskiy

Pandolfi

2010

Math. Model. Nat. Phenom.

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Abstract. We study controllability for a nonhomogeneous string and ring under an axial stretching tension that varies with time. We consider the boundary control for a string and distributed control for a ring. For a string, we are looking for a control f (t) ∈ L 2 (0, T ) that drives the state solution to rest. We show that for a ring, two forces are required to achieve controllability. The controllability problem is reduced to a moment problem for the control. We describe the set of initial data which may be driven to rest by the control. The proof is based on an auxiliary basis property result.

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Vibrations of Shells and Plates, Third Edition

Abstract: These reviews of books and other forms of information express the opinions of the individual reviewers and are not necessarily endorsed by the Editorial Board of this Journal.

Cited by 42 publications

References 0 publications

Analysis of dry friction damping characteristics for short cylindrical shell structures

Analysis of dry friction damping characteristics for short cylindrical shell structures

NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution

Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension

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