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RISScattering of Structural Waves by Nonlinear Elastic Joints
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analytic study of the scattering of structural waves by nonlinear elastic joints is presented. Under the assumption of small nonlinearities and/or amplitudes of motion, an averaging methodology ...
Inducing Passive Nonlinear Energy Sinks in Vibrating Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We study the inducement of passive nonlinear sinks in linear vibrating systems. These are substructures that absorb vibrational energy in a one-way, irreversible fashion. The systems considered ...
Analytic Study of Linear and Nonlinear Mode Localization
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The localization of the normal modes of weakly coupled vibrating systems is examined with a new exact, analytical method. Both linear and nonlinear systems are considered and the mode localization ...
Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We study energy pumping in an impulsively excited, two-degrees-of-freedom damped system with essential (nonlinearizable) nonlinearities by means of two analytical techniques. First, we transform the ...
Localized and Non-Localized Nonlinear Normal Modes in a Multi-Span Beam With Geometric Nonlinearities
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The nonlinear normal modes of a geometrically nonlinear multi-span beam consisting of n segments, coupled by means of torsional stiffeners are examined. Assuming that the stiffeners possess large ...
An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The nonlinear normal modes of a class of one-dimensional, conservative, continuous systems are examined. These are free, periodic motions during which all particles of the system reach their ...
An Energy-Based Approach to Computing Resonant Nonlinear Normal Modes
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A formulation for computing resonant nonlinear normal modes (NNMs) is developed for discrete and continuous systems. In a canonical framework, internal resonance conditions are immediately recognized ...
Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We use an analytical technique based on nonsmooth coordinate transformations to study discreteness effects in the post-buckling state of a circular ring loaded by a periodic array of compressive ...
A Theorem on the Exact Nonsimilar Steady-State Motions of a Nonlinear Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work the steady-state motions of a nonlinear, discrete, undamped oscillator are examined. This is achieved by using the notion of exact steady state, i.e., a motion where all coordinates ...
Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part 1 of the present study, is studied by using a second order ...