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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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On the experimental identification of unstable static equilibria.

TL;DR: This paper shows how the presence of unstable equilibrium configurations of elastic continua is reflected in the behaviour of transients induced by large perturbations, using transient dynamics to identify these configurations.

Acousto-elastic interaction in combustion chambers

TL;DR: In this paper, the authors deal with the interaction between combustion, acoustics and vibrations with emphasis on frequencies below 500 Hz and present a method to calculate the vibrations of the liner.
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On the mechanics of fracture in monoliths and multilayers from low-velocity impact by sharp or blunt-tip projectiles

TL;DR: In this paper, a dynamic fracture analysis is developed assuming elastic contact and quasi-static load transfer between target and projectile, and the growth history of the median crack is then found using an appropriate relationship between crack length and contact load.
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Higher-frequency wavenumber shift and frequency shift in a cracked, vibrating beam

TL;DR: In this paper, the authors derived explicit wavenumber shift and frequency shift expressions for the resonances of a cracked, transversely vibrating beam with both shallow and deeper cracks.
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Free vibration analysis of arbitrarily shaped polygonal plates with simply supported edges using a sub-domain method

TL;DR: In this paper, a practical analytical method for the free vibration analysis of a simply supported polygonal plate with arbitrary shape is proposed, which employs a sub-domain method dividing the plate of interest with two sub-plates.