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Description
Compromises among cost efficiency, sustainability, and occupant comfort require efficient prediction concepts in building acoustics. For structure-borne sound problems, the driving-point mobility at the excitation position is a key quantity for estimating the power introduced into the structure by the excitation source.Previous studies have shown that approximating the driving-point mobility by a constant characteristic mobility can lead to substantial deviations, particularly at low frequencies, near boundaries, and for layered building components. For such components, the Transfer Matrix Method is a well-established approach for modeling sound transmission. Additional modal extensions allow the finite dimensions and simply supported boundary conditions of rectangular plates to be included.The present work applies the modal Transfer Matrix Method (mTMM) to evaluate the driving-point mobility of a multilayered, simply supported plate subjected to a point force acting on the top layer, thereby representing a structure-borne excitation.For the investigated reference cases, the proposed mTMM approach shows agreement with conventional finite element simulations, while validation against experimental results is discussed. The approach retains the computational efficiency and low modeling effort previously demonstrated for the mTMM compared with full finite element models.However, the restriction to simply supported plates limits the method's applicability to practical building structures. To address this limitation while preserving computational efficiency, a truncated sine-basis extension is proposed for alternative boundary conditions. This extension enables elastically restrained boundaries to be represented within the modal Transfer Matrix framework.