Prediction of natural frequencies of finite length circular cylindrical shells

The Sound Radiation Efficiency of Finite Length Acoustically Thick Circular Cylindrical Shells Under Mechanical Excitation I: Theoretical Analysis

“…As pointed out by Wang and Lai [15], the ring frequency ( f P ) is an important parameter used to indicate the frequency range for which curvature e!ects are important. The ring frequency is de"ned as the frequency when the wavelength of extensional waves in the shell is equal to the shell circumference:…”

“…It has been shown by Wang and Lai [15] that the relationships between natural frequencies and wavenumbers of "nite length cylindrical shells are independent of the boundary conditions. In order to simplify the discussions, an approximate solution to the exact relationship as a result of neglecting in-plane defection [18] is used here:…”

Analytical Prediction of Noise of Magnetic Origin Produced by Permanent Magnet Brushless Motors

“…1a, the magnetic forces acting on a motor structure have to be calculated from the input currents and voltages using an analytical electromagnetic model [8,9] or the FEM model [8,11]. The vibration characteristics are then determined using a structural model normally based on the FEM [7,8,[11][12][13]. By using the vibration velocities of the motor structure predicted from the structural model, the radi-ated sound power level can then be calculated on the basis of an acoustic model.…”

An Exact Dynamic Stiffness Formulation for Predicting Natural Frequencies of Moderately Thick Shells of Revolution

“…Since Love [1] established the basis of thin elastic shell theory, loads of effort have been devoted to the free vibration analysis of circular cylindrical shells over decades [2,3]. Besides circular cylindrical shells, other types of shells like conical, spherical, elliptical, parabolic, and hyperbolic shells are also frequently used in civil, mechanical, aeronautical, and marine engineering.…”