# Numerical Analysis of Vibroacoustic Response of Timber Floor Panels Damped with Porous Materials
## 1 Introduction
[14] discuss the results of in situ measurements conducted on full-scale timber constructions to analyze the frequency behavior of impact noise from bare floors and the influence of floating-floor technology on timber horizontal partitions. The research proposes a new frequency model for the impact noise of cross-laminated timber bare floors and compares wooden structures to traditional technologies. The influence of floating floors, mineral wool, and screwed ceilings is analyzed, with the suspended ceiling found to be the best way to reduce impact noise. [PERSON] et al. [15] describe the development and validation of finite element methods (FEM) for simulating the dynamic response of a dowelled-joist wood floor at low frequencies up to 200 Hz. The FEM models were validated against experimental modal analysis, and both rigid and spring connectors were used to model dowel connections between the joists. In their study, [PERSON] and [PERSON] [3] performed experimental investigations, to study the vibroacoustic behavior of long-span floor systems made of stiff floor elements with high-rotational-stiffness supports. Measurements were conducted using experimental modal analysis and the integral transform method was used to identify modal properties and sound radiation under impact excitation. The element size and boundary conditions significantly impacted radiated sound power at low frequencies, and sound radiation above 50 Hz can be efficiently reduced using traditional strategies such as gravel in the cavity of the floor elements. [PERSON] et al. [16] investigate the acoustic performance of composite sandwich panels in building construction. Experimental and numerical tests are performed on a full-scale panel, confirming its overall low acoustic performance due to its light weight. The study highlights the need for additional sound-insulation measures and validates the application of the reciprocity theorem to accurately predict impact sound-pressure levels based on numerical results of airborne sound reduction. [PERSON] et al. [17] studied the acoustic and vibrational behavior of a 200 mm cross-laminated timber (CLT) floor using noise sources such as a dodecahedron, standard tapping machine, and rubber ball. Sound pressure and velocity levels were measured, and a prediction law was derived. The study focuses on understanding the CLT floor's performance and provides an analysis of the sound-radiation index. Based on a comprehensive literature review in this field, there have been limited numerical studies dedicated to the modeling of wood floors treated with porous materials within the low-frequency domain. In this frequency range, the boundary conditions affect the vibroacoustic characteristics of the system. The coupling between the wood structure and the porous material also has a major influence in this frequency range, necessitating the development of a model that takes into account both phases of the poroelastic medium, as well as wave propagation in the solid domain of the porous material. [PERSON]'s displacement-pressure model, proposed and used in this study in timber floor panels (one of the original features of this research work), will enable us to understand this strong interaction and take account of the elastic behavior of its skeleton. This paper presents a comprehensive investigation of the behavior of a timber floor panel, with a primary focus on addressing noise-radiation issues and enhancing vibration control in the low-frequency range. The study introduces a novel approach by exploring the use of a porous-material layer to achieve these goals. The paper is structured into three main sections. The first section provides a detailed description of the timber floor panel's components, including beams, joists, and flooring. It also explores different connection types and presents damping ratio estimates for various timber floor types. To determine the mechanical properties of the glued laminated timber (glulam) beams, four-point bending tests are conducted.