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Forced Nonlinear Oscillations of a Semi-Infinite Beam Resting on a Unilateral Elastic Soil: Analytical and Numerical Solutions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The dynamics of a semi-infinite Euler–Bernoulli beam on unilateral elastic springs is investigated. The mechanical model is governed by a moving-boundary hyperbolic problem, which cannot be solved ...
Competing Dynamic Solutions in a Parametrically Excited Pendulum: Attractor Robustness and Basin Integrity
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The competing solutions of a planar pendulum parametrically excited by the vertical motion of the pivot are investigated in terms of both attractor robustness and basin integrity. Two different ...
Simple Mechanical Model of Curved Beams by a 3D Approach
Publisher: American Society of Civil Engineers
Abstract: Starting from three-dimensional (3D) continuum mechanics, a simple one-dimensional model aimed at analyzing the whole static behavior of nonhomogeneous curved beams is proposed. The kinematics is described by four ...
Experimental Rotations of a Pendulum on Water Waves
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The rotations of a parametric pendulum fitted onto a suitable floating support and forced to move vertically under the action of water waves have been studied on the basis of a dedicated ...
Response Scenario and Nonsmooth Features in the Nonlinear Dynamics of an Impacting Inverted Pendulum
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, we perform a systematic numerical investigation of the nonlinear dynamics of an inverted pendulum between lateral rebounding barriers. Three different families of considerably variable ...
Influence of Modal Coupling on the Nonlinear Dynamics of Augusti’s Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The nonlinear behavior and stability under static and dynamic loads of an inverted spatial pendulum with rotational springs in two perpendicular planes, called Augusti’s model, is analyzed in ...