Receptances in Mechanical Systems

Abstract

We wish to propose that the word “receptance” should be used instead of “admittance” as applied to mechanical systems (see R. and M. 2,000, 1947). By this, we mean that if a generalised disturbing force F_se^iωt is applied at the s^th generalised co-ordinate q_s of a linear oscillatory system, then the response at the r^th generalised co-ordinate is given byq_s = α_rsF_se^iωtwhere α_rs is the “Cross-receptance” between q_r and q_s. If r = s, then α_rs would be the “direct receptance” at q_s.