VIBRATION CHARACTERISTICS OF SIMPLY SUPPORTED THICK SKEW PLATES IN 3-DIMENSIONAL SETTING

Citation
Km. Liew et al., VIBRATION CHARACTERISTICS OF SIMPLY SUPPORTED THICK SKEW PLATES IN 3-DIMENSIONAL SETTING, Journal of applied mechanics, 62(4), 1995, pp. 880-886
Citations number
14
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
ISSN journal
0021-8936
Volume
62
Issue
4
Year of publication
1995
Pages
880 - 886
Database
ISI
SICI code
0021-8936(1995)62:4<880:VCOSST>2.0.ZU;2-L
Abstract
A procedure is presented for determining the three-dimensional elastic ity solutions for free vibration analysis of simply supported thick sk ew plates, The exact expressions of strain and kinetic energies are de rived from linear, small-strain, three-dimensional elasticity theory. To allow the treatment of soft and hard simple support conditions, set s of three-dimensional spatial displacement functions are expressed in terms of unit normals to the edges. By virtue of the three-dimensiona l elasticity theory, the present method does not require a special tre atment for stress singularity at the obtuse corners. This method is al so demonstrated to be free from shear locking phenomena. The significa nt difference in the vibration response of skew plates with soft and h ard simple support conditions is highlighted, The influence of skew an gle an the eigenvalues of thick skew plate is discussed in the context of the three-dimensional elasticity solutions.