Joint Statistics of Natural Frequencies Corresponding to Structural Systems with Singular Random Parameter Matrices

Author:

Fragkoulis Vasileios C.1ORCID,Kougioumtzoglou Ioannis A.2,Pantelous Athanasios A.3ORCID,Beer Michael4ORCID

Affiliation:

1. Research Associate, Institute for Risk and Reliability, Leibniz Universität Hannover, Hannover 30167, Germany. ORCID:

2. Associate Professor, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., New York, NY 10027 (corresponding author).

3. Professor, Dept. of Econometrics and Business Statistics, Monash Univ., Clayton, VIC 3800, Australia. ORCID:

4. Professor and Head, Institute for Risk and Reliability, Leibniz Universität Hannover, Hannover 30167, Germany; Part-Time Professor, Institute of Risk and Uncertainty, Univ. of Liverpool, Liverpool, UK; Guest Professor, International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Shanghai Institute of Disaster Prevention and Relief, Tongji Univ., 1238 Gonghexin Rd., Shanghai, China. ORCID:

Publisher

American Society of Civil Engineers (ASCE)

Subject

Mechanical Engineering,Mechanics of Materials

Reference56 articles.

1. Joint statistics of natural frequencies of stochastic dynamic systems

2. Random matrix eigenvalue problems in structural dynamics

3. Piezoelectric energy harvesting from broadband random vibrations

4. Adhikari S. and R. S. Langley. 2003. “Distribution of eigenvalues of linear stochastic systems.” In Vol. 1 of Proc. 9th Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP 9) 201–207. Berkeley: Univ. of California Berkeley.

5. Breitung, K. W. 2006. Asymptotic approximations for probability integrals. Berlin: Springer.

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