Author
P.A.A. Laura
Bio: P.A.A. Laura is an academic researcher. The author has contributed to research in topics: Cantilever & Vibration. The author has an hindex of 1, co-authored 1 publications receiving 65 citations.
Topics: Cantilever, Vibration, Cross section (physics)
Papers
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TL;DR: In this paper, an approximate solution of the title problem is obtained by using the Rayleigh-Schmidt approach, which yields accurate engineering results which in the case of a uniform cantilever beam are in very good agreement with To's eigenvalues.
67 citations
Cited by
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TL;DR: In this article, a simplified approach for free vibration analysis of wind turbine towers taking the soil-structure interaction into account is presented, based on an Euler-Bernoulli beam-column with elastic end supports.
Abstract: Wind turbine structures are long slender columns with a rotor and blade assembly placed on the top. These slender structures vibrate due to dynamic environmental forces and its own dynamics. Analysis of the dynamic behavior of wind turbines is fundamental to the stability, performance, operation and safety of these systems. In this paper a simplied approach is outlined for free vibration analysis of these long, slender structures taking the soil-structure interaction into account. The analytical method is based on an Euler-Bernoulli beam-column with elastic end supports. The elastic end-supports are considered to model the flexible nature of the interaction of these systems with soil. A closed-form approximate expression has been derived for the first natural frequency of the system. This new expression is a function of geometric and elastic properties of wind turbine tower and properties of the foundation including soil. The proposed simple expression has been independently validated using an exact numerical method, laboratory based experimental measurement and field measurement of a real wind turbine structure. The results obtained in the paper shows that the proposed expression can be used for a quick assessment of the fundamental frequency of a wind turbine taking the soil-structure interaction into account.
103 citations
TL;DR: In this paper, the free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions were dealt with using the Adomian modified decomposition method (AMDM).
101 citations
TL;DR: In this paper, exact solutions for the dynamics of buckled beams with different types of end conditions are obtained by using Jacobi elliptic functions, and the natural frequencies are obtained for the nonlinear problem by using the modes of the corresponding linear problem.
93 citations
TL;DR: In this paper, the free vibration of a cantilever Timoshenko beam with a rigid tip mass is analyzed, where the mass center of the attached mass need not be coincident with its attachment point to the beam.
67 citations
TL;DR: In this article, the free vibration of an Euler-Bernoulli beam with a rigid tip mass whose center of gravity need not be coincident with its point of attachment to the beam is examined.
61 citations