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Modal Analysis of Multi-Degrees-of-Freedom Systems with Singular Matrices: Analytical Dynamics Approach
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 ...
Delay-Dependent Robust Stability Analysis for Premium-Reserve Models in an Arbitrary Regime Switching Discrete-Time Framework
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 ...
Linear Random Vibration of Structural Systems with Singular Matrices
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 ...
Statistical Linearization of Nonlinear Structural Systems with Singular Matrices
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 ...
Linear Random Vibration of Structural Systems with Singular Matrices
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 ...
Joint Statistics of Natural Frequencies Corresponding to Structural Systems with Singular Random Parameter Matrices
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 ...