Free Vibrations of Multilayer Anisotropic Cylindrical Shells

Vibration and damping analysis of orthotropic cylindrical shells with electrorheological core layer

“…In Fig. 3(a), the natural frequency increases and the modal loss factor decreases as the parameterẼ 1 increases for modes (1,2), (1,3), and (1, 4) when applying 0.5 kV/mm electric field. It is because that the natural frequency will increase and modal loss factor will decrease as the stiffness of the system increases.…”

“…Fig. 4(a) shows the effects of electric fields on natural frequency and modal loss factor of orthotropic cylindrical shell system for modes (1,2). The boundary conditions of the system are simplysupported at both ends.…”

The effects of thickness on frequency values for rotating circular shells

“…Rotating circular shell structures are increasingly being used in many engineering applications like aviation, rocketry, missiles, chemical, aero-space, civil and mechanical industries. Thus, frequencies and mode shapes of such structures are important in the design of systems [1][2][3][4]. As a consequence, a number of analytical and numerical methods have been also studied on the vibration analysis of circular cylindrical shells [5][6][7][8][9][10][11][12].…”

The Effects of Large Vibration Amplitudes on the Mode Shapes and Natural Frequencies of Thin Elastic Shells, Part I: Coupled Transverse-Circumferential Mode Shapes of Isotropic Circular Cylindrical Shells of Infinite Length

“…The discretized expression for the kinetic energy is obtained by substituting equations (9) into equation (7), which leads to…”

“…The free vibration of laminated orthotropic simply supported cylindrical shells has been investigated by Dong [6] and Donnell-type displacement equations of equilibrium, and the natural frequencies have been obtained by an iterative procedure. Bert et al determined the free vibration characteristics of thin-walled cylindrical shells with layers made of an arbitrarily laminated anisotropic elastic material [7]. Subsequently, Warburton and Higgs have extended their work and have used an energy method in conjunction with the Raleigh}Ritz technique to determine the natural frequencies of clamped}free cantilevered cylindrical shells [8].…”