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Reflection, Transmission and Coupling of Longitudinal and Flexural Waves at Beam Junctions. Part I: Measurement Methods

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This paper presents measurement methods for the scattering matrix terms of beam junctions. The case of flexural and longitudinal waves travelling on prismatic beams and interacting with a structural discontinuity is considered. Reflection, transmission and wave coupling coefficients between these two waves are obtained from structural response functions measured by in-plane and out-of-plane laser vibrometers. Three measurement methods are developed and compared. They are based on different sets of assumptions for the junction: geometrical axial symmetry, reciprocity and conservation of the energy. The third method is iterative and is the most efficient way to obtain all coefficients: reflection and transmission coefficients are first estimated ignoring the wave coupling coefficients, which are computed in a second step. The measured coefficients are used to determine stiffness parameters of the junctions which are key parameters to predict response functions of beam assemblies using a wave superposition method.
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Document Type: Research Article

Publication date: November 1, 2006

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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