The application of Karhunen–Loéve, or principal component analysis method, to study the non-linear seismic response of structures

IMPROVEMENT OF THE SEMI-ANALYTICAL METHO

IMPROVEMENT OF THE SEMI-ANALYTICAL METHOD, FOR DETERMINING THE GEOMETRICALLY NON-LINEAR RESPONSE OF THIN STRAIGHT STRUCTURES. PART I: APPLICATION TO CLAMPED–CLAMPED AND SIMPLY SUPPORTED–CLAMPED BEAMS

✍ 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