𝔖 Bobbio Scriptorium
✦   LIBER   ✦

FREE VIBRATIONS OF UNIFORM TIMOSHENKO BEAMS WITH ATTACHMENTS

✍ Scribed by B. Posiadała

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
226 KB
Volume
204
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The problem of free transverse vibrations of Timoshenko beams with attachments like translational and rotational springs, concentrated mass including the moment of inertia, linear undamped oscillators and additional supports is considered. The frequency equation for the combined system is derived by means of the Lagrange multiplier formalism. The exact solution of the free vibration problem of the beam without attachments is taken into account for the formulation of the free vibration problem of the combined system. Numerical examples show the separate or coupling influences of the additional elements on the combined system's frequencies. The comparison of results obtained by using the present approach with results of the exact solution indicates a good agreement.

📜 SIMILAR VOLUMES

Vibrations of elastically restrained non
Vibrations of elastically restrained non-uniform timoshenko beams
✍ S.Y. Lee; S.M. Lin 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 495 KB

The free vibration of an elastically restrained symmetric non-uniform Timoshenko beam resting on a non-uniform elastic foundation and subjected to an axial load is studied. The two coupled governing characteristic differential equations are reduced into two separate fourth order ordinary differentia

FREE VIBRATION OF MULTI-SPAN TIMOSHENKO
FREE VIBRATION OF MULTI-SPAN TIMOSHENKO BEAMS USING STATIC TIMOSHENKO BEAM FUNCTIONS
✍ D. ZHOU 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 249 KB

It is well known that Euler}Bernoulli beam theory neglects the e!ect of transverse shear strain on the bending solutions because the assumption of plane cross-sections perpendicular to the axis of the beam remaining plane and perpendicular to the axis after deformation. This simple beam theory can g

Free Vibrations of Timoshenko Beams Carr
Free Vibrations of Timoshenko Beams Carrying Elastically Mounted, Concentrated Masses
✍ R.E. Rossi; P.A.A. Laura; D.R. Avalos; H. Larrondo 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 375 KB

An exact solution of the title problem is presented. The overall situation is of great interest in many engineering applications. Three combinations of boundary conditions for the structural element are considered: simply supported, simply supported - clamped and clamped at both ends. An analysis of