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    Modal Analysis of Multi-Degrees-of-Freedom Systems with Singular Matrices: Analytical Dynamics Approach 

    Source: Journal of Engineering Mechanics:;2017:;Volume ( 143 ):;issue: 006
    Author(s): Athanasios A. Pantelous; Antonina Pirrotta
    Publisher: American Society of Civil Engineers
    Abstract: Complex mechanical (e.g., multibody) systems with different types of constraints are generally performed through analytical dynamics methods. In some cases, however, it is possible that the (augmented) mass and/or ...
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    Delay-Dependent Robust Stability Analysis for Premium-Reserve Models in an Arbitrary Regime Switching Discrete-Time Framework 

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering:;2019:;Volume ( 005 ):;issue: 002
    Author(s): Rong Li; Athanasios A. Pantelous; Lin Yang
    Publisher: American Society of Civil Engineers
    Abstract: In the insurance industry, the actuarial team experiences significant challenges for pricing a competitive but also fair premium and keeping an accurate level of reserve, which leads inevitably to numerous adjustments over ...
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    Linear Random Vibration of Structural Systems with Singular Matrices 

    Source: Journal of Engineering Mechanics:;2016:;Volume ( 142 ):;issue: 002
    Author(s): Vasileios C. Fragkoulis; Ioannis A. Kougioumtzoglou; Athanasios A. Pantelous
    Publisher: American Society of Civil Engineers
    Abstract: A framework is developed for determining the stochastic response of linear multi-degree-of-freedom (MDOF) structural systems with singular matrices. This system modeling can arise when using more than the minimum number ...
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    Statistical Linearization of Nonlinear Structural Systems with Singular Matrices 

    Source: Journal of Engineering Mechanics:;2016:;Volume ( 142 ):;issue: 009
    Author(s): Vasileios C. Fragkoulis; Ioannis A. Kougioumtzoglou; Athanasios A. Pantelous
    Publisher: American Society of Civil Engineers
    Abstract: A generalized statistical linearization technique is developed for determining approximately the stochastic response of nonlinear dynamic systems with singular matrices. This system modeling can arise when a greater than ...
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    Linear Random Vibration of Structural Systems with Singular Matrices 

    Source: Journal of Engineering Mechanics:;2016:;Volume ( 142 ):;issue: 002
    Author(s): Vasileios C. Fragkoulis; Ioannis A. Kougioumtzoglou; Athanasios A. Pantelous
    Publisher: American Society of Civil Engineers
    Abstract: A framework is developed for determining the stochastic response of linear multi-degree-of-freedom (MDOF) structural systems with singular matrices. This system modeling can arise when using more than the minimum number ...
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    Joint Statistics of Natural Frequencies Corresponding to Structural Systems with Singular Random Parameter Matrices 

    Source: Journal of Engineering Mechanics:;2022:;Volume ( 148 ):;issue: 003:;page 04022001
    Author(s): Vasileios C. Fragkoulis; Ioannis A. Kougioumtzoglou; Athanasios A. Pantelous; Michael Beer
    Publisher: ASCE
    Abstract: An asymptotic approximation methodology for solving standard random eigenvalue problems is generalized herein to account for structural systems with singular random parameter matrices. In this regard, resorting to the ...
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