Abstract
The response of a mechanical system to the displacement excitation at a support is determined in terms of the natural frequencies and modes of the rigidly supported system. Receptances in closed and series forms are obtained for torsional and flexural systems and their properties are discussed. Support receptances are used to determine the modal and frequency changes caused by the introduction of flexibility at a beam support. The case of a beam on two flexible supports is then analysed using the cross-receptances between supports.

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