Driving point impedances of thick homogeneous plates in flexure

Impedance of infinite Kirchhoff and Mindlin plates with a rigid circular massless plug

“…3,4 Mindlin theory for plates includes the effects of shear deformation and rotatory inertia both of which are important for thick floors. Cremer 3 was concerned about the radiation of vibratory energy into a Mindlin plate away from the excitation as characterized by the real part of the input mobility.…”

Calculation of Point Mobilities at Generic Multi-Plate/Beam Junctions

“…Reference [7] also provides the point moment mobility for a moment acting around an axis perpendicular to the plate. The classical out-of-plane point force and point moment mobility are calculated in reference [6] and [2], respectively. In both references [2,6] Mindlin plate theory is employed.…”

“…The classical out-of-plane point force and point moment mobility are calculated in reference [6] and [2], respectively. In both references [2,6] Mindlin plate theory is employed. For a radius a of the indenter the mobilities are …”

“…6. CONCLUDING REMARKS This work has been concerned with how to compute point mobilities of complicated structures, in particular generic multi-plate/beam junctions.…”

“…Cremer and Heckl [1] gave a comprehensive summary of formulas for a number of simple structures, such as beams, plates and shells. Many authors, among them Dyer [2], Eichler [3], Beckmann [4], Heckl [5], Buhlert [6], Ljunggren [7] and Leung and Pinnigton [8], considered various point mobilities of plates in more or less detail. In contrast, very few results are published for point mobilities of more complicated or built-up structures; Lamb [9] and Goyder and White [10] studied beam sti!ened plates, while Peterson [11] addressed the point mobility at an intersection of two perpendicular plates.…”