Vibration of thin-walled member with open section

AuthorKejriwal, Vijay Kumar
Call NumberAIT Thesis no. 681
Subject(s)Structures, Theory of
Structural engineering
NoteA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand.
PublisherAsian Institute of Technology
AbstractEquations of motion of thin-walled members with open section under the action of time varying axial force, biaxial bending and torsional moments have been derived by means of a variational method. Three equations of motion governing the transverse and torsional vibration of a thin-walled section with no axis of symmetry are coupled hence the section undergoes a triply coupled vibration. For a section with one axis of symmetry, the vibration is doubly coupled since only two equations of motion are coupled. A section, with the shear center coinciding with the centroid, undergoes an uncoupled motion due to the fact that its equations of motion are uncoupled. Complete solutions for all the three types of free and forced vibrations of simply supported beams are obtained. The natural frequencies and eigenvectors for free vibration have been determined in closed forms. Orthogonal property of natural modes of vibration have been utilized to uncouple the equations of motion for solving the forced vibration. Exact solutions of the displacement functions have been obtained in the form of series. An example is given to illustrate the calculations of relevant geometric properties of a. section. The properties of other commonly used structural sections are compiled in a table,. Solutions of free and forced vibrations with reference to I-section, channel section, T-section and angle section have been described.
Year1974
TypeThesis
SchoolStudent Research Before 1980
DepartmentOther Field of Studies (No Department)
Academic Program/FoSThesis (Year <=1979)
Chairperson(s)Lee, Seng-Lip ;Karasudhi, Pisidhi
Scholarship Donor(s)International Telephone and Telegraph, Far East and Pacific, Inc.
DegreeThesis (M. Eng.) - Asian Institute of Technology, 1974


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