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  • 1
    Electronic Resource
    Electronic Resource
    Variational method for the solution of TPBVP arising in mechanics (1997)
    Springer
    Computational mechanics 20 (1997), S. 468-473 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper is concerned with a new method for solving two point boundary value problems for ordinary differential equations. The method is based on minimizing a cost functional, the solution of which satisfies the required boundary conditions. It searches for the trajectory that satisfies the system of equation, in addition to the required boundary conditions. The method leads to an iterative algorithm which is described in detail. Numerical results for a number of systems appearing in applications is also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050267
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Evaluation of the elastic property based on boundary measurement (1998)
    Springer
    Acta mechanica 129 (1998), S. 231-241 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary This paper is concerned with the evaluation of the elastic constant of a rod based on the measurement obtained at the boundary. We consider the problem of recovering the elastic rigidity of a rod that is a function of space. The approach is based on allowing the unknown function to depend on time. With appropriate measurement data the unknown system parameters are guided from an arbitrary initial condition to their true value at a final time. An explicit equation describing the time evolution of the parameter is obtained by minimizing the error along the trajectory. The method leads to an iterative algorithm which is described in detail. Numerical results with the method indicate that accurate estimates of the unknown function can be obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176748
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Inverse wave scattering in 2-D elastic solids (1999)
    Springer
    Acta mechanica 136 (1999), S. 1-15 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary This paper is concerned with an inverse problem for two-dimensional elastic solids. It seeks to recover the subsurface density profile based on the measurements obtained at the boundary. The method considers a temporal interval for which time dependent measurements are provided. It formulates an optimal estimation problem which seeks to minimize the error difference between the given data and the response from the system. It uses a boundary regularization term to stabilize the inversion. The method leads to an iterative algorithm which, at every iteration, requires the solution to a two-point boundary value problem. Several numerical results are presented which indicate that a close estimate of the unknown density function can be obtained based on the boundary measurements only.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01292294
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Feedback controller for a flexible structure using piezoceramic actuators (1995)
    Springer
    Dynamics and control 5 (1995), S. 401-419 
    Details
    ISSN: 1573-8450
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Piezoceramic actuators are used to design control laws for an LQR control of a slewing beam. Convergent functional gains are obtained and time responses of the closed loop system are presented. It is shown that the piezoceramic actuators significantly reduce the small amplitude high frequency oscilations in the closed loop response of the system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01968505
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Evaluation of the rate constants in chemical reactions (1998)
    New York, NY : Wiley-Blackwell
    International Journal of Chemical Kinetics 30 (1998), S. 151-159 
    Details
    ISSN: 0538-8066
    Keywords: Chemistry ; Physical Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: This article is concerned with the application of a new method to recover the rate constants in chemical reactions. The method is based on treating the unknown parameters as time dependent. With appropriate experimental data the unknown rate constants are guided from an arbitrary initial condition to their true value at a final time. An explicit equation describing the time evolution of the parameters is obtained by minimizing the error along the trajectory. The method leads to an iterative algorithm which is described in detail. Numerical results with the method indicate that accurate estimates of the rate constants can be obtained directly from experimental data. © 1998 John Wiley & Sons, Inc. Int J Chem Kinet 30: 151-159, 1998.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
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