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    The Short-Time Impulse Response of Euler-Bernoulli Beams 

    Source: Journal of Applied Mechanics:;2004:;volume( 071 ):;issue: 002:;page 208
    Author(s): Anindya Chatterjee
    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 ...
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    Asymptotics for the Characteristic Roots of Delayed Dynamic Systems 

    Source: Journal of Applied Mechanics:;2005:;volume( 072 ):;issue: 004:;page 475
    Author(s): Pankaj Wahi; Anindya Chatterjee
    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 ...
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    Anomalous Frictional Behavior in Collisions of Thin Disks Revisited 

    Source: Journal of Applied Mechanics:;2008:;volume( 075 ):;issue: 002:;page 24501
    Author(s): Rahul Mourya; Anindya Chatterjee
    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 ...
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    Vibrations of a Beam in Variable Contact With a Flat Surface 

    Source: Journal of Vibration and Acoustics:;2009:;volume( 131 ):;issue: 004:;page 41010
    Author(s): Arjun Roy; Anindya Chatterjee
    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 ...
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    Higher-Order Pseudoaveraging via Harmonic Balance for Strongly Nonlinear Oscillations 

    Source: Journal of Vibration and Acoustics:;2005:;volume( 127 ):;issue: 004:;page 416
    Author(s): K. Nandakumar; Anindya Chatterjee
    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 ...
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    Asymptotic Parameter Estimation via Implicit Averaging on a Nonlinear Extended System 

    Source: Journal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;issue: 001:;page 11
    Author(s): Anindya Chatterjee; Joseph P. Cusumano
    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 ...
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    Nonintrusive Measurement of Contact Forces During Vibration Dominated Impacts 

    Source: Journal of Dynamic Systems, Measurement, and Control:;2004:;volume( 126 ):;issue: 003:;page 489
    Author(s): Satwinder Jit Singh; Anindya Chatterjee
    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. ...
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    Unified Galerkin- and DAE-Based Approximation of Fractional Order Systems 

    Source: Journal of Computational and Nonlinear Dynamics:;2011:;volume( 006 ):;issue: 002:;page 21010
    Author(s): Satwinder Jit Singh; Anindya Chatterjee
    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. ...
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    A Dynamical Systems Approach to Damage Evolution Tracking, Part 1: Description and Experimental Application 

    Source: Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 002:;page 250
    Author(s): David Chelidze; Joseph P. Cusumano; Anindya Chatterjee
    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 ...
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    A Dynamical Systems Approach to Damage Evolution Tracking, Part 2: Model-Based Validation and Physical Interpretation 

    Source: Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 002:;page 258
    Author(s): Joseph P. Cusumano; David Chelidze; Anindya Chatterjee
    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 ...
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