𝔖 Bobbio Scriptorium
✦   LIBER   ✦

THE INFLUENCE OF CONCENTRATED MASSES AND PASTERNAK SOIL ON THE FREE VIBRATIONS OF EULER BEAMS—EXACT SOLUTION

✍ Scribed by M.A. De Rosa; M.J. Maurizi


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
173 KB
Volume
212
Category
Article
ISSN
0022-460X

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✦ Synopsis


The free vibration frequencies of a beam with flexible ends resting on Pasternak soil are determined in the presence of a concentrated mass at an arbitrary intermediate abscissa.

The differential equation of motion is deduced and solved, and the resulting frequency equation gives the exact frequencies of the system. Some numerical examples and comparisons end the paper.


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✍ Ji Wang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 164 KB

In earlier papers [1,2], Naguleswaran studied the vibrations of beams with non-uniform thickness by solving the differential equation with the Frobenius method, which gives the solutions in infinite power series. The author observed the fact that, for some cases, even the quadruple precision could n