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In this paper, the exact frequency and mode shape expressions are derived for universal bellows type of expansion joint in lateral and rocking modes of vibration. The effect of equivalent support stiffness and mass on the natural frequencies and mode shapes are studied in detail and the results for a range of non-dimensional parameters are presented in graphical forms which should be useful for piping and bellow designers.

This article analyzes the strengths and weaknesses of the traditional roll pull guide, raises the necessity of design for a new cylindrical cam roll pull guide, conduct the contour modeling of the swing cam, in accordance with the principle of meshing curved surface of the envelope, and carry on the cam solid modeling in solidworks. This cylinder cam roll pull guide meets the requirement of design and is applied to the lateral positioning process of the die-cutting machine which greatly improves the accuracy of die cutting.