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IMPROVEMENT OF THE SEMI-ANALYTICAL METHOD, FOR DETERMINING THE GEOMETRICALLY NON-LINEAR RESPONSE OF THIN STRAIGHT STRUCTURES: PART II—FIRST AND SECOND NON-LINEAR MODE SHAPES OF FULLY CLAMPED RECTANGULAR PLATES

✍ Scribed by M. EL KADIRI; R. BENAMAR


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
375 KB
Volume
257
Category
Article
ISSN
0022-460X

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✦ Synopsis


¹"

1 2

y *w H *y *w I *x *w J *x # *w I *y *w J *y dx dy (10) and indices i, j, k and l are summed over 1, 2 , n. The dynamic behaviour of the structure may be obtained by Lagrange's equations for a conservative system, which leads to ! * *t *¹ *qR P # *¹ *q P ! *< *q P


📜 SIMILAR VOLUMES


IMPROVEMENT OF THE SEMI-ANALYTICAL METHO
✍ M. EL KADIRI; R. BENAMAR; R.G. WHITE 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 497 KB

In a previous series of papers (Benamar 1990 Ph.D. ¹hesis, ;niversity of Southampton; Benamar et al. 1991 Journal of Sound and <ibration 149, 179}195; 164, 399}424 [1}3]) a general model based on Hamilton's principle and spectral analysis has been developed for non-linear free vibrations occurring a