Date of Award
Thesis - Restricted
Master of Science (MS)
Civil, Construction, and Environmental Engineering
Yoo, Chai H.
This paper will investigate the dynamic behavior of horizontally curved beams, concentrating specifically on the determination of the natural frequencies of curved beams. Presented are the derivations of the differential equations governing the dynamic behavior of curved beams, and the development of the total energy expression for the problem. Element stiffness and mass matrices are derived for utilization in the solutions of both the static and dynamic problems. Computer programs are presented for the analysis of horizontally curved beams. The program solves forces and displacements for the static problem and eigenvalues and eigenvectors for the dynamic problem. A series of examples are presented to demonstrate the application of the formulation derived in this study. Comparisons are made with existing solutions for dynamic behavior of curved beams. This study also contains design charts which may be used to aid in the determination of the natural frequency of horizontally curved beams. These charts account for variation in a number of parameters relating to the beam length, curvature and stiffness.
Fehrenbach, Jon P., "Natural Frequencies of Horizontally Curved Beams" (1979). Master's Theses (1922-2009) Access restricted to Marquette Campus. 4617.