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RISThe 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 ...
Semi-Implicit Integration and Data-Driven Model Order Reduction in Structural Dynamics With Hysteresis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Structural damping is often empirically rate-independent wherein the dissipative part of the stress depends on the history of deformation but not its rate of change. Hysteresis models are popular for rate-independent ...
Unequivocally Nonconservative Results From One Method of Imperfection Quantification in RCC-MR
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Design against buckling of thin shells at high temperatures often follows the code RCC-MR. RCC-MR allows three methods to quantify shell imperfections for use in safe load calculations, where lower imperfection values raise ...
Interplay Between Dissipation and Modal Truncation in Ball-Beam Impact
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We study a ball-beam impact in detail; and in particular, we study the interplay between dissipation and modal truncation. With Hertzian contact between a solid ball and an Euler–Bernoulli beam model, we find using detailed ...
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 ...
Numerical Stability Analysis of Linear Incommensurate Fractional Order Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We present a method for detecting right half plane (RHP) roots of fractional order polynomials. It is based on a Nyquistlike criterion with a systemdependent contour which includes all RHP roots. We numerically count the ...
Simple Recipe for Accurate Solution of Fractional Order Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Fractional order integrodifferential equations cannot be directly solved like ordinary differential equations. Numerical methods for such equations have additional algorithmic complexities. We present a particularly simple ...