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The Short-Time Impulse Response of Euler-Bernoulli Beams
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We study an undamped, simply supported, Euler-Bernoulli beam given an instantaneous impulse at a point G, far from its ends. The standard modal solution obscures interesting mathematical features ...
Asymptotics for the Characteristic Roots of Delayed Dynamic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Delayed dynamical systems appear in many areas of science and engineering. Analysis of general nonlinear delayed systems often begins with the linearized delay differential equation (DDE). The ...
Anomalous Frictional Behavior in Collisions of Thin Disks Revisited
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In prior work, (1999, “ Anomalous Frictional Behavior in Collisions of Thin Disks,” ASME J. Appl. Mech., 66, pp. 146–152) reported experimental results of collisions between thin plastic disks ...
Vibrations of a Beam in Variable Contact With a Flat Surface
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We study small vibrations of cantilever beams contacting a rigid surface. We study two cases: the first is a beam that sags onto the ground due to gravity, and the second is a beam that ...
Higher-Order Pseudoaveraging via Harmonic Balance for Strongly Nonlinear Oscillations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Some strongly nonlinear conservative oscillators, on slight perturbation, can be studied via averaging of elliptic functions. These and many other oscillations allow harmonic balance-based averaging ...
Asymptotic Parameter Estimation via Implicit Averaging on a Nonlinear Extended System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We present an observer for parameter estimation in nonlinear oscillating systems (periodic, quasiperiodic or chaotic). The observer requires measurements of generalized displacements. It estimates ...
Nonintrusive Measurement of Contact Forces During Vibration Dominated Impacts
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Impact force estimation is done indirectly through, e.g., strain measurements away from the contact point, because inserting a force transducer between the contacting objects changes the force. ...
Unified Galerkin- and DAE-Based Approximation of Fractional Order Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider numerical solutions of nonlinear multiterm fractional integrodifferential equations, where the order of the highest derivative is fractional and positive but is otherwise arbitrary. ...
A Dynamical Systems Approach to Damage Evolution Tracking, Part 1: Description and Experimental Application
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this two-part paper we present a novel method for tracking a slowly evolving hidden damage process responsible for nonstationarity in a fast dynamical system. The development of the method ...
A Dynamical Systems Approach to Damage Evolution Tracking, Part 2: Model-Based Validation and Physical Interpretation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the hidden variable damage tracking method developed in Part 1 is analyzed using a physics-based mathematical model of the experimental system: a mechanical oscillator with a ...