TY - JOUR
T1 - An Orthogonality relation for a class of problems with high-order boundary conditions; Applications in sound-structure interaction
AU - Lawrie, Jane B.
AU - Abrahams, I. David
PY - 1999/5
Y1 - 1999/5
N2 - A new orthogonality relation, involving eigenfunctions and their derivatives, for the general class of problems involving a scalar wave equation and high-order boundary conditions is presented. It discusses the procedure for incorporating the necessary edge conditions. Via two specific examples from structural acoustics, both of which have exact solutions obtainable by other techniques, it is shown that the orthogonality relations allows mode matching to follow through in the same manner as for simpler boundary conditions.
AB - A new orthogonality relation, involving eigenfunctions and their derivatives, for the general class of problems involving a scalar wave equation and high-order boundary conditions is presented. It discusses the procedure for incorporating the necessary edge conditions. Via two specific examples from structural acoustics, both of which have exact solutions obtainable by other techniques, it is shown that the orthogonality relations allows mode matching to follow through in the same manner as for simpler boundary conditions.
UR - https://www.scopus.com/pages/publications/0032650303
U2 - 10.1093/qjmam/52.2.161
DO - 10.1093/qjmam/52.2.161
M3 - Article
SN - 1464-3855
VL - 52
SP - 161
EP - 181
JO - Quarterly Journal of Mechanics and Applied Mathematics
JF - Quarterly Journal of Mechanics and Applied Mathematics
IS - 2
ER -