Title: Vibration of coil springs with arbitrary shape.
Abstract: This paper is concerned with the method for analyzing the vibration of coil springs with arbitrary shape. In the analysis, the field transfer matrix is derived from the solution of the foundamental equation of the curved beam theory. The transfer matrix is given by combining this field transfer matrix and the point transfer matrix. The analysis derives the frequency equation which is applicable to the coil spring of general shape. Numerical calculations have been carried out for HYPERBOLOIDAL springs and barrel springs. Experimental tests are also carried out to verify the present theoretical results.