Related Resources: Design and Engineering General
Design Guide Natural Frequencies Straight and Curved Beams
Design Guide For Calculating Natural Frequencies of Straight and Curved Beams on Multiple Supports.
S.S. Chen and M.W. Wambsganss
Open: Design Guide Calculating Natural Frequencies of Straight and Curved Beams
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A graphical method is presented for calculating natural frequencies of straight and curved beams with multiple spans of equal length. ·The .method· is simple, and its degree of accuracy is directly related to the ·accuracy with which frequency fac-tors are read from the graphs.
There is little doubt that research in support of nuclear reactor component designs must be increasingly concerned with the dynamic nature of the loading and response of component structures. The work described here is concerned with a problem inherent in every vibration analysis: the determination of component natural frequencies. It is intended to be a first step in the development of a unified design procedure to avoid detrimental vibrations of beam-like components on multiple supports.
Many reactor components (e.g., heat exchanger tubes, fuel rods, and pipings) can be represented as continuous beams on multiple supports. In the design stage, a rigorous method for calculating precise natural frequencies is usually not warranted; rather a simple method to estimate the frequencies is desirable .. Therefore, in this design guide, a simple graphical method is presented for predicting the frequencies of continuous, straight and curved beams on periodic, multiple supports.
I. INTRODUCTION 7
II. STRAIGHT BEAMS 7
A. Single-Span Beams 7
B. Multiple-Span Beams 8
III. CURVED BEAMS 9
A. Single-Span Beams 9
B. Multiple-Span Beams 10
IV. EXAMPLE OF APPLICATION 10
V. DISCUSSION 12