AN EQUIVALENT-CENTER METHOD FOR QUICK FREQUENCY-ANALYSIS OF BEAMS CARRYING A CONCENTRATED MASS

This article is concerned with the fundamental frequency of vibrating beams carrying a concentrated mass at various locations. An equivalent -center method for obtaining the frequencies of the loaded beams has b een presented. The generated design curves can be used generally for b eams with different boundary conditions by introducing the dimensionle ss parameters. Results show that the equivalent-center weight and freq uency factors are to evaluate effectively and quickly the fundamental frequency of a beam carrying a mass at various locations through merel y the frequency of the center-loaded beam. The weight factor further f acilitates the process since only a small range of frequencies is requ ired.