✦ LIBER ✦

DYNAMIC STIFFNESS ANALYSIS FOR TORSIONAL VIBRATION OF CONTINUOUS BEAMS WITH THIN-WALLED CROSS-SECTION

✍ Scribed by Y. MATSUI; T. HAYASHIKAWA

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 279 KB
Volume: 243
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3415

No coin nor oath required. For personal study only.

✦ Synopsis

An analytical method for determining natural frequencies and mode shapes of the torsional vibration of continuous beams with thin-walled cross-section is developed by using a general solution of the di!erential equation of motion based on Vlasov's beam theory. This method takes into account the e!ect of warping sti!ness; it leads to an exact solution and is called the continuous mass method. Also, the approximate method based on the "nite discrete element approach is presented. The mathematical relationship between the exact and the approximate methods is discussed, and the accuracy of the natural frequencies obtained by these analytical methods is investigated. Some typical continuous beams are analyzed to illustrate the applicability of the lumped, consistent, and continuous mass methods, and the computed results are given in tabular form.

📜 SIMILAR VOLUMES

Vibration Analysis of Coupled Extensiona

Vibration Analysis of Coupled Extensional/Flexural/Torsional Modes of Curved Beams With Arbitrary Thin-Walled Sections

✍ A.S. Gendy; A.F. Saleeb 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 469 KB

A three-dimensional, two-field, variational formulation is employed to derive the differential equations governing the dynamics of stretching, shearing, bending and twisting, as well as warping modes of deformations in a spatially curved beam with arbitrary cross-section. Correspondingly, the finite

Exact dynamic stiffness matrix for a thi

Exact dynamic stiffness matrix for a thin-walled beam of doubly asymmetric cross-section filled with shear sensitive material

✍ B. Rafezy; W. P. Howson 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 325 KB

Study of warping torsion of thin-walled

Study of warping torsion of thin-walled beams with open cross-section using macro-elements

✍ Sorin D. Musat; Bogdan I. Epureanu 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

Thin-walled beams with open cross-section under torsion or complex load are studied based on the hypotheses of the classical theory (Vlasov). Di erent from previous techniques presented in the literature, the concept of a strip-plate is introduced. This concept is used to accurately model the e ect

Study of warping torsion of thin-walled

Study of warping torsion of thin-walled beams with closed cross-section using macro-elements

✍ Musat, Sorin D. ;Epureanu, Bogdan I. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 540 KB

A new method for computing the deformation of thin-walled beams with closed cross-section under warping torsional loading is presented. In comparison to the classical theory (Umanski), the hypothesis of no deformation of the contour of the cross-section of the beam is maintained and the assumption o

ACCURATE CALCULATION OF ELASTIC BUCKLING

ACCURATE CALCULATION OF ELASTIC BUCKLING LOADS FOR SPACE FRAMES BUILT UP OF UNIFORM BEAMS WITH OPEN THIN-WALLED CROSS-SECTION

✍ J. H. SÄLLSTRÖM 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 712 KB

A so-called exact static stiffness matrix for a uniform beam element with open thin-walled cross-section carrying an axial compressive load is derived. This stiffness matrix is useful in an accurate calculation of bifurcation loads and corresponding buckling modes of space frames built up of such be