Vibrational behavior of elastic homogeneous isotropic beams with general boundary conditions due to a moving harmonic force is analyzed. The analysis duly considers beams with four di!erent boundary conditions; these include pinned}pinned, "xed}"xed, pinned}"xed, and "xed}free. The response of beams
MOVING LOADS ON BEAMS WITH GENERAL BOUNDARY CONDITIONS
β Scribed by H.S. Zibdeh; R. Rachwitz
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 545 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The problem of transverse vibrations of homogeneous isotropic beams due to the passage of different types of loads is of considerable practical interest. The occurrence of millions of repetitions of this type of loading system would certainly jeopardize the life of many types of structures that arise in different engineering fields. Analytical and numerical methods are used in this paper to investigate the statistical response moments of beams with general boundary conditions subjected to a stream of random moving loading systems of Poissonian pulse type. The stream of loading systems is assumed to move with different types of motion: i.e., accelerating, decelerating and constant velocity. Because of the non-normality of the input process, the response process is non-normal too. This renders the characteristics of the response process in terms of statistical moments important. Therefore, the behavior of these moments is studied in detail for the aforementioned beams. The response moments are then used in studies to predict the reliability and service life of such beams by using expansions of non-normal processes in terms of statistical moments. Different examples are discussed to clarify the results arrived at in this paper.
π SIMILAR VOLUMES
This paper contributes to the basic fundamental problem of vibration of elastic homogeneous isotropic beam with general boundary conditions traversed by moving loads. Closed-form solutions for the response of beams subjected to a single deterministic moving force are obtained. The moving force is as
A simple and uni"ed approach is presented for the vibration analysis of a generally supported beam. The #exural displacement of the beam is sought as the linear combination of a Fourier series and an auxiliary polynomial function. The polynomial function is introduced to take all the relevant discon