title: Formulation of total complex power and energy flows into a discrete system.
abstract: By considering total inputs into a discrete system, this letter analytically formulates and summarizes the relationships in the complex-form power and energy flows and the dissipated power and Lagrangian energy of the system. The matrix inverse method to obtain the force/moment necessary for the power/energy flow is shown as an indirect yet analytically exact method. A 2 degree-of-freedom system is employed to analytically validate the derived formulas, followed by a computational confirmation. A finite element plate-beam model is further utilized to computationally confirm the relationships in the complex power and energy flows.
authors.affiliation: Hitachi America, Limited, 34500 Grand River Avenue, Farmington Hills, Michigan 48335, USA Akira.Inoue@Hitachi-Automotive.us.
authors.forename: Akira
authors.initials: A
authors.lastname: Inoue
authors.affiliation: Hitachi, Limited, 832-2 Horiguchi, Hitachinaka-shi, Ibaraki 312-0034, Japan Yosuke.Tanabe.pb@hitachi.com.
authors.forename: Yosuke
authors.initials: Y
authors.lastname: Tanabe