Flexural wave transmission through angled structural joints

This paper studies the interactions between incident flexural waves and a structural joint that connects two identical elastic beams at an arbitrary angle. The beams are described by classical beam theory and the joint is modeled with stiffness, dissipation, and mass, all in three degrees of freedom, namely, in longitudinal and flexural displacements as well as rotation. Coefficients of flexural wave transmission, reflection, dissipation, and conversion to longitudinal waves are derived, and are analyzed to reveal the functional dependence of these coefficients on parameters such as frequency, joint angle, and various joint parameters. Discussions are also given on potential ways of minimizing flexural wave transmission through a joint.