Green’s Function In Free Axisymmetric Vibration Analysis Of Annular Thin Plates With Different Boundary Conditions

Autor:	K.K. Żur
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	annular plates green’s function singularities Mechanical engineering and machinery TJ1-1570
Zdroj:	International Journal of Applied Mechanics and Engineering, Vol 20, Iss 4, Pp 939-951 (2015)
Druh dokumentu:	article
ISSN:	1734-4492 2353-9003
DOI:	10.1515/ijame-2015-0060
Popis:	Free vibration analysis of homogeneous and isotropic annular thin plates by using Green’s functions is considered. The formula of the influence function for uniform thin circular and annular plates is presented in closed-form. The limited independent solutions of differential Euler equation were expanded in the Neumann power series based on properties of integral equations. The analytical frequency equations as power series were obtained using the method of successive approximations. The natural axisymmetric frequencies for singularities when the core radius approaches zero are calculated. The results are compared with selected results presented in the literature.
Databáze:	Directory of Open Access Journals
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