Journal of Pure and Applied Mathematics: Advances and Applications[1] S. G. Braun and Y. M. Ram, Modal modification of vibrating
systems: some problems and their solutions, Mechanical Systems and
Signal Processing 15(1) (2001), 101-119.
[2] K. Farahani and H. Bahai, An inverse strategy for relocation of
eigenfrequencies in structural design Part I: first order approximate
solutions, Journal of Sound and Vibration 274(3- 5) (2004),
481-505.
[3] G. M. L. Gladwell, Inverse Problems in Vibration, Kluwer Academic
Publishers, 2004.
[4] G. M. L. Gladwell, Inverse finite element vibration problems,
Journal of Sound and Vibration 221(2) (1999), 309-324.
[5] G. Hearn and R. Testa, Modal analysis for damage detection in
structure, Journal of Structural Engineering 117(10) (1991),
3042-3063.
[6] R. Jimenez, L. Santos, N. Kuhl and J. Egana, The reconstruction of
a specially structured Jacobi matrix with an application to damage
detection in rods, Computers and Mathematics with Applications
49(11-12) (2005), 1815-1823.
[7] R. Jimenez, L. Santos, N. Kuhl, J. Egana and R. L. Soto, An
inverse eigenvalue procedure for damage detection in rods, Computers
and Mathematics with Applications 47(4-5) (2004), 643-657.
[8] E. Lai and G. K. Ananthasuresh, On the design of bars and beams
for desired mode shapes, Journal of Sound and Vibration 254(2) (2002),
393-406.
[9] P. Nylen and F. Uhlig, Inverse eigenvalue problems associated with
spring-mass systems, Linear Algebra and its Application 254 (1997),
409-425.
[10] Y. M. Ram and S. Elhay, The construction of band symmetric models
for vibratory systems from modal analysis data, Journal of Sound and
Vibration 181(4) (1995), 583-591.
[11] Z. S. Wang and H. Dai, On the construction of a real symmetric
five-diagonal matrix from its three eigenpairs, Applied Mathematics
and Computation 175(1) (2006), 597-60
[12] Z. S. Wang, Inverse eigenvalue problems for real symmetric banded
matrix, Appl. Math. J. Chinese Univ. Ser. A. 19 (2004), 451-459 (in
Chinese).
[13] S. Q. Zhou and H. Dai, Inverse problems of Algebra eigenvalue,
Henan Science and Technology Press,Zhengzhou, 1991 (in Chinese).
