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Modal analysis of vibrating structures impregnated with crack

Das H. C., Parhi D. R.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 3

639-652

In the current investigation a dynamic analysis of the cracked cantilever beam is carried out. Local flexibility is being introduced due to the presence of a crack in the structural member that affects its dynamic response. For finding out the deviation in mode shapes and natural frequencies of the cracked cantilever beam the local stiffness matrices are taken into account. Theoretical expressions have been developed to calculate the natural frequencies and mode shapes of the cracked cantilever beam using local stiffness matrices. The strain energy release rate has been used for calculating the local stiffnesses of the beam. Suitable boundary conditions are taken into account at the crack location. Comparisons made between the numerical results and the corresponding experimental results show very good agreement and authenticate the theory developed.

Analysis of free vibrations for Rayleigh lamb waves in a micropolar viscoelastic plate

Kumar R., Partap G.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 2

383-397

The propagation of free vibrations in a homogeneous isotropic micropolar viscoelastic plate subjected to stress free conditions is investigated. The secular equations for symmetric and skew symmetric wave mode propagation are derived. The regions of secular equations are obtained and special cases such as Lame modes, thin plate results and short wavelength waves are also discussed. At short wavelength limit, the secular equations for symmetric and skew symmetric waves in a stress free plate reduce to the Rayleigh surface wave frequency equation. The amplitudes of normal force stress, tangential force stress and tangential couple stress are obtained and depicted graphically. Finally, numerical solution is carried out for magnesium crystal composite material plate.

Przyczynek do interpretacji wyników doświadczenia Fizeau

Kamusiński A.

Zeszyty Naukowe Akademii Marynarki Wojennej

2005

R. 46 nr 4 (163)

95-103

Opierając się na analizie opisu sprawdzającego doświadczenie Fizeau, wykonanego przez Michelsona i Morleya w artykule zwrócono uwagę na to, że w interpretacji wyników tego doświadczenia nie uwzględniono faktu różnych długości i częstotliwości fal w ośrodkach ruchomych. Rozważania uściślają interpretację wyników rozpatrywanego doświadczenia.