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RISGalerkin Approximations for Neutral Delay Differential Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, Galerkin approximations are developed for a system of first order nonlinear neutral delay differential equations (NDDEs). The NDDEs are converted into an equivalent system of hyperbolic partial differential ...
Galerkin Approximations for Stability of Delay Differential Equations With Distributed Delays
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Delay differential equations (DDEs) are infinitedimensional systems, therefore analyzing their stability is a difficult task. The delays can be discrete or distributed in nature. DDEs with distributed delays are referred ...
Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Delays
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we develop Galerkin approximations for determining the stability of delay differential equations (DDEs) with time periodic coefficients and time periodic delays. Using a transformation, we convert the DDE ...
Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Coefficients
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A numerical method to determine the stability of delay differential equations (DDEs) with time periodic coefficients is proposed. The DDE is converted into an equivalent partial differential equation (PDE) with a time ...
Vibrations of a Simply Supported Cross Flow Heat Exchanger Tube With Axial Load and Loose Supports
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, a mathematical model is developed for simulating the vibrations of a single flexible cylinder under crossflow. The flexible tube is subjected to an axial load and has loose supports. The equation governing ...
Modeling of Contact and Stiction in Electrostatic Microcantilever Actuators
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A dynamic model of a microcantilever actuator is developed to simulate the events of contact, impact, stiction, and pulloff from the substrate. The model accounts for geometric, electrostatic, adhesive, and contact ...
Fast Generation of Stability Charts for Time-Delay Systems Using Continuation of Characteristic Roots
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Many dynamic processes involve time delays, thus their dynamics are governed by delay differential equations (DDEs). Studying the stability of dynamic systems is critical, but analyzing the stability of time-delay systems ...
Effect of Delay on Control of Direct Resonance of Ships in Beam Waves Using a Proportional–Derivative Controller With Delay
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A harmonically excited, single-degree-of-freedom time-delay system with cubic and quintic nonlinearities is studied. This system describes the direct resonance of a ship with an actively controlled antiroll tank (ART) that ...
Supercritical and Subcritical Hopf Bifurcations in a Delay Differential Equation Model of a Heat-Exchanger Tube Under Cross-Flow
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Nonlinear vibrations of a heat-exchanger tube modeled as a simply supported Euler–Bernoulli beam under axial load and cross-flow have been studied. The compressive axial loads are a consequence of thermal expansion, and ...
Linear Quadratic Regulator for Delayed Systems Using the Hamiltonian Approach and Exact Closed-Loop Poles for First-Order Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider the linear quadratic regulator (LQR) for linear constant-coefficient delay differential equations (DDEs) with multiple delays. The Hamiltonian approach is used instead of an algebraic Riccati partial differential ...