Abstract
This chapter discusses the theoretical, experimental, and numerical methods for evaluating the mode count in a variety of statistical energy analysis (SEA) subsystem types. Although not unique to SEA, the mode count is a very important parameter in SEA because it represents the number of resonant modes available to receive and store energy in a subsystem. The mode count appears in the equations for the average frequency response function of a subsystem, the power balance between subsystems, and the relation between the modal response and the average system response variables. The modal density η(ω) is used most often in the theoretical development of SEA for distributed systems. The theoretical mode count for distributed systems is based on combining geometric information about the allowed mode shapes of the system with the dispersion relation for free waves in the system. The mode shapes for dynamical motion in a two-dimensional system are strongly dependent on the geometry of the system and also on the boundary conditions. The mode count for a general shape can be generalized from the mode count for a rectangular geometry, which is more easily analyzed.
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