Vibration and damping analysis of multilayered conical shells

Khatri, K.N.; Asnani, N.T.

doi:10.1016/0263-8223(95)00117-4

Cited by 20 publications

(8 citation statements)

References 15 publications

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“…sandwich shell is given by (22) and the kinetic energy can be written in the form (23) here ρ is the mass density, (… • ) denotes differentiation with respect to time and u T = {v T ,␥ T }. A shell is the surface area of the shell and h is the thickness of the shell.…”

Section: Variational Formulationmentioning

confidence: 99%

“…Vibrational damping analysis of laminated composite beam and plates has been investigated by several authors [14,19,25,32,42]. The application to laminated shells is discussed, for example, in References [2,3,8,15,22,23,33,35,43,44,48]. Though the damping characteristics of laminated composite structures have been studied extensively, studies of sandwich composite structures are limited.…”

Section: Introduction Dmentioning

confidence: 99%

See 1 more Smart Citation

Free Damped Vibrations of Sandwich Shells of Revolution

Korjakin

Rikards

Altenbach

et al. 2001

Jnl of Sandwich Structures & Materials

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Using a zig-zag model the free damped vibrations of sandwich shells of revolution are investigated. As special cases the vibration analysis under consideration of damping of cylindrical, conical and spherical sandwich shells is performed. A specific sandwich shell finite element with 54 degrees of freedom is employed. Starting from the energy method the damping model is developed. Numerical examples for the free vibration analysis with damping based on the proposed finite element approach are discussed. Results for sandwich shells show a satisfactory agreement with various reference solutions.

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Section: Variational Formulationmentioning

confidence: 99%

Section: Introduction Dmentioning

confidence: 99%

Free Damped Vibrations of Sandwich Shells of Revolution

Korjakin

Rikards

Altenbach

et al. 2001

Jnl of Sandwich Structures & Materials

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“…In order to solve Equation ( 37), we must present the formulations of the principal mode shapes U(, ), V(, ) and W(, ) in Equations ( 21)-( 23). Many people have studied the vibration of conical shells and some types of vibration mode shapes have been applied (Goldberg et al, 1960;Chang, 1978;Khatri and Asnani, 1995;Chai et al, 2006). For example, Liew et al (2005) employed the kernel particle functions in hybridized form with harmonic functions to approximate the vibration modes of the conical shells.…”

Section: Negative Velocity Feedback Methodsmentioning

confidence: 99%

Active vibration control of conical shells using piezoelectric materials

Song

Chen

2011

Journal of Vibration and Control

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In this paper, the active vibration control of conical shells is studied using velocity feedback and linear quadratic regulator methods. Up to now, many researches on the active vibration control of beams, plates and cylindrical shells have been published, however, to our knowledge, few people have studied the active vibration control of conical shells. Normally, in the equation of motion of the conical shells, some coefficients are variables, which makes the equation of motion of the conical shells very complicated and difficult to solve analytically. In order to solve this problem, Hamilton's principle with the assumed mode method is employed to derive the equation of motion of the complex electromechanical coupling system. This equation of motion for the conical shell and piezoelectric patch system can be easily solved and effectively used for the structural active vibration control. Based on the traditional theory of structural dynamics, this method is easy to understand and is verified by numerical simulations. The forced vibration responses of the conical shells with two piezoelectric patches are computed to study the active vibration control. The optimal design for the locations of the piezoelectric patches is also developed by the genetic algorithm. From the results it can be seen that the control gain has a significant effect on the vibration control of the conical shell, but the effect of the size of the piezoelectric patches on controlling the vibration amplitudes is not so obvious. The overall vibration of the conical shell can be effectively reduced by the velocity feedback control method. With the increase of the control gain, the active damping characteristics of the conical shell are improved. Moreover, the optimal placement scheme of the piezoelectric patches obtained by the genetic algorithm can significantly reduce the vibration amplitudes of the conical shell.

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“…Their latter work [12] concentrated on the vibration and damping characteristics of a three-layered conical shell with a viscoelastic core constrained by isotropic facing materials; the semi-analytical "nite element method they developed was based upon the displacement "eld originally proposed by Wilkins, Bert and Egle [5], and the results they presented were also based on the panel dimensions and properties "rst quoted in reference [5]. Khatri [13}15], and Khatri and Asnani [16,17] used a variational approach to derive the di!erential equations governing the motion of a layered conical shell, and proceeded to "nd approximate solutions for the natural frequencies and modes using Galerkin's method. Since each layer was shear deformable, a few studies were presented of a conical sandwich panel which could be regarded as a special case of a three-layered shell, with shear-sti!…”

Section: Literature Reviewmentioning

confidence: 99%

“…outer layers to represent isotropic/orthotropic face plates. However, the work reported in reference [16] (and presumably reference [17]) has rightly been criticized by Baruch [18] on the grounds that the elastic constants for each layer are actually a function of their spatial position, and not independent constants as assumed by Khatri and Asnani.…”

Section: Literature Reviewmentioning

confidence: 99%