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Formulas for natural frequency and mode shape

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The article was published on 1979-01-01 and is currently open access. It has received 2002 citations till now. The article focuses on the topics: Natural frequency & Normal mode.

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Analysis of vibrating circular plates of nonuniform thickness by the method of differential quadrature

TL;DR: In this paper, the case of vibrating circular plates of linearly varying thickness is tackled using a method proposed by Bellman in the early 1970s, and the authors show that the method can be applied to a wide range of applications.
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Axisymmetric vibrations of a circular Chladni plate in air and fully submerged in water

TL;DR: In this paper, experimental and numerical analyses were performed to determine the effects of water loading on the axisymmetric modes of vibration of a circular plate, where the plate was harmonically excited at its centre through an extension bar and its outer edge was left free.
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Dynamic pressure generator for dynamic calibrations at different average pressures based on a double-acting pneumatic actuator

TL;DR: In this paper, a double-acting pneumatic actuator with an electrodynamic shaker was proposed to generate sinusoidal pressure pulsations at higher amplitudes and frequencies in a gaseous medium due to the nonlinearities of the physical gas dynamics.
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Modal strain energy based methods for the analysis of complex patterned free layer damped plates

TL;DR: In this article, the modal behavior of structures covered with a complex pattern of viscoelastic material in Free Layer Damping (FLD) configuration in terms of damping performances has been studied.
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Estimation of complex modulus using wave coefficients

TL;DR: In this paper, the authors presented a new method for experimentally determining structural damping properties of stiff materials in flexural vibration, and used it to estimate the complex modulus of aluminum and polymethyl methacrylate (PMMA) beams in the frequency range from 30 to 800.