An extension of line spring model for vibration analysis of thin isotropic plate containing multiple part-through cracks: an analytical approach

• Autorzy: Jain N. K. , Gupta A. , Salhotra R. , Rawani A. M. , Soni S. , Mishra A. , Joshi P. V.
• Języki publikacji: EN

Abstrakty

EN

In the present study, the effect of multiple part-through cracks on the vibration characteristics of thin isotropic rectangular plate is presented. The proposed analytical model is developed using Kirchhoff’s classical plate theory and the crack terms are formulated using the simplified Line Spring Model (LSM). The application of Berger's formulation helps to transform the derived governing equation in the form of well known Duffing equation with cubic nonlinearities and then the solution for final governing equation is obtained using Galerkin's method for two different boundary conditions. The fundamental frequency of the plate as affected by the number of cracks, cracks length, cracks orientation, and plate aspect ratio for different boundary condition is presented. It is found that the results obtained for natural frequencies are maximally affected by number of cracks, crack length and orientations.

Słowa kluczowe

EN

multiple cracks; Line Spring Model; vibration; partial crack

PL

pęknięcie wielokrotne; sprężyna liniowa; drgania; pęknięcie częściowe

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2018
• Tom: Vol. 29
• Strony: art. no. 2018022
• Opis fizyczny: Bibliogr. 28 poz., rys.

Twórcy

autor

Jain N. K.

• Department of Mechanical Engineering, National Institute of Technology, Raipur, (C.G.) INDIA 492010

autor

Gupta A.

• Department of Mechanical Engineering, National Institute of Technology, Raipur, (C.G.) INDIA 492010

autor

Salhotra R.

• Department of Mechanical Engineering, National Institute of Technology, Raipur, (C.G.) INDIA 492010

autor

Rawani A. M.

• Department of Mechanical Engineering, National Institute of Technology, Raipur, (C.G.) INDIA 492010

autor

Soni S.

• Department of Mechanical Engineering, National Institute of Technology, Raipur, (C.G.) INDIA 492010

autor

Mishra A.

• Department of Mechanical Engineering, National Institute of Technology, Raipur, (C.G.) INDIA 492010

autor

Joshi P. V.

• Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI, Bhilai, (C.G.) INDIA 490001

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