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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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Journal ArticleDOI

A piezoelectric array for sensing vibration modal coordinates

TL;DR: In this paper, a modal coordinate sensor for a beam is created from an array of rectangular segments of piezoelectric film, and the output voltages of the segments are multiplied by appropriate gains so that the weighted combinations of the outputs approximate the modal coordinates of the beam.
Journal ArticleDOI

Natural frequency split estimation for inextensional vibration of imperfect hemispherical shell

TL;DR: In this article, a mathematical model of the hemispherical shell is introduced using inextensional vibration mode shapes, and the natural frequency of the shell is determined by applying Rayleigh's energy method.
Journal ArticleDOI

Certain numerical issues of wave propagation modelling in rods by the Spectral Finite Element Method

TL;DR: In this paper, the results of numerical simulations obtained by the authors and related with the use of single-mode, two-mode and higher order rod behaviour theories are discussed and studied in details.
Journal ArticleDOI

Parametric studies of coupled vibration of cylindrical pipes conveying fluid with the wave propagation approach

TL;DR: In this paper, the wave propagation approach is extended to the coupled frequency analysis of finite cylindrical pipes conveying dense fluid and the effects of fluid and shell parameters on the coupled frequencies are investigated.
Patent

Ultrasound probe and ultrasound imaging device

TL;DR: In this article, the representative aspect ratio of a diaphragm forming a capacitive micro-machined ultrasonic transducer is set to a value at which a dip of 6 dB or greater would not be formed within a transmit and receive bandwidth of a probe.