This paper analytically examines the multi-dimensional mounting schemes of
an automotive engine-gearbox system when excited by oscillating torques. In
particular, the issue of torque roll axis decoupling is analyzed in signif
icant detail since it is poorly understood. New dynamic decoupling axioms a
re presented an d compared with the conventional elastic axis mounting and
focalization methods. A linear time-invariant system assumption is made in
addition to a proportionally damped system. Only rigid-body modes of the po
wertrain are considered and the chassis elements are assumed to be rigid. S
everal simplified physical systems are considered and new closed-form solut
ions for symmetric and asymmetric engine-mounting systems are developed. Th
ese clearly explain the design concepts for the 4-point mounting scheme. Ou
r analytical solutions match with the existing design formulations that are
only applicable to symmetric geometries. Spectra for all six rigid-body mo
tions are predicted using the alternate decoupling methods and the closed-f
orm solutions are verified. Also, our method is validated by comparing moda
l solutions with prior experimental and analytical studies. Parametric desi
gn studies are carried out to illustrate the methodology. Chief contributio
ns of this research include the development of new or refined analytical mo
dels and closed-form solutions along with improved design strategies for th
e torque roll axis decoupling. (C) 2000 Academic Press.