A. Gwaiz and M. A. , Sturm-Liouville Theory and its Applications, 2007.

R. D. Blevins, Formulas for Natural Frequency and Mode Shape, Journal of Applied Mechanics, vol.47, issue.2, 1993.
DOI : 10.1115/1.3153712

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2010.
DOI : 10.1007/978-0-387-70914-7

B. Finlayson and L. Scriven, The method of weighted residuals-A review, Applied Mechanics Reviews, vol.19, pp.735-748, 1966.

P. Hagedorn and A. Dasgupta, Vibrations and Waves in Continuous Mechanical Systems, 2007.
DOI : 10.1002/9780470518434

T. J. Hughes, The Finite Element Method, 2000.

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957.
DOI : 10.1103/PhysRev.106.620

E. T. Jaynes, Information Theory and Statistical Mechanics. II, Physical Review, vol.108, issue.2, pp.171-190, 1957.
DOI : 10.1103/PhysRev.108.171

J. S. Liu, Monte Carlo Strategies in Scientific Computing, 2001.
DOI : 10.1007/978-0-387-76371-2

M. Matsumoto and T. Nishimura, Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator, ACM Transactions on Modeling and Computer Simulation, vol.8, issue.1, pp.3-30, 1998.
DOI : 10.1145/272991.272995
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.1141

N. Metropolis and S. Ulam, The Monte Carlo Method, Journal of the American Statistical Association, vol.44, issue.247, pp.335-34110, 1949.
DOI : 10.1080/01621459.1949.10483310

N. Newmark, A method of computation for structural dynamics, Journal of the Engineering Mechanics Division, vol.85, pp.67-94, 1959.

A. Papoulis, S. U. Pillai, and . Probability, Random Variables and Stochastic Processes, 2002.

C. P. Robert and G. Casella, Monte Carlo Statistical Methods, 2010.

C. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

R. W. Shonkwiler and F. Mendivil, Explorations in Monte Carlo Methods, 2009.
DOI : 10.1007/978-0-387-87837-9

C. Soize, A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000.
DOI : 10.1016/S0266-8920(99)00028-4
URL : https://hal.archives-ouvertes.fr/hal-00686293