A critical examination of discrete models in vibration problems of continuous systems
Küçük Resim Yok
Tarih
1977
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The solution of vibration problems of continuous systems by means of discrete models is examined with reference to two point eigenvalue problems in a generality encompassing a large body of finite models. It is shown that the consistent displacement models give upper bounds to eigenvalues with an error which is ultimately proportional to n2s where n is the number of elements and s the order of the complete polynomial displacement function. This result applies to both frequency dependent and independent formulations but the structure of eigenvalues is different in each case. Particular emphasis is placed on the generation of lower bounds to eigenvalues and criteria are derived for upper and lower bound elements. © 1977.
Açıklama
Anahtar Kelimeler
Kaynak
Journal of Sound and Vibration
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
53
Sayı
2
