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Reflections on Two Parallel Ways in the Progress of Fractional Calculus in Mechanics of Solids
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Dedicated to Professor Stanislav Meshkov on the occasion of his 75th birthday
Application of Fractional Calculus for Analysis of Nonlinear Damped Vibrations of Suspension Bridges
Publisher: American Society of Civil Engineers
Abstract: Free damped vibrations of a suspension bridge with a bisymmetric stiffening girder are considered under the conditions of the internal resonance one-to-one, i.e., when natural frequencies of two dominating modes—a certain ...
Ray Method for Solving Dynamic Problems Connected With Propagation of Wave Surfaces of Strong and Weak Discontinuities
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The aim of the article is to review the literature devoted to the solution of wave dynamics problems resulting in the propagation of nonstationary surfaces (volume waves) or lines (surface ...
Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The aim of this review article is to collect together separated results of research in the application of fractional derivatives and other fractional operators to problems connected with vibrations ...
Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The present state-of-the-art article is devoted to the analysis of new trends and recent results carried out during the last 10years in the field of fractional calculus application to dynamic ...
Application of Weakly Anisotropic Models of a Continuous Medium for Solving the Problems of Wave Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A review of papers dealing with the investigation of wave phenomena occurring in weakly anisotropic elastic media is available in the present article. Several weakly anisotropic models of a ...
Reflections on Fifty Years
Publisher: The American Society of Mechanical Engineers (ASME)
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