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Optimal control of a Timoshenko beam by distributed forces (1986)

Sadek, I. ; Sloss, J. M. ; Bruch, J. C. ; [et al.]

Springer

Journal of optimization theory and applications 50 (1986), S. 451-461

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ISSN: 1573-2878

Keywords: Distributed control problems ; Timoshenko beams ; maximum principle ; initial boundary-value problems ; partial differential equations ; elasticity

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The present paper considers the problem of optimally controlling the deflections and/or velocities of a damped Timoshenko beam subject to various types of boundary conditions by means of a distributed applied force and moment. An analytic solution is obtained by employing a maximum principle.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00938631

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Flow past symmetric convex profiles with open wakes (1987)

Dormiani, M. ; Bruch, J. C. ; Sloss, J. M.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 7 (1987), S. 1301-1314

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ISSN: 0271-2091

Keywords: Cavities ; Fixed Domain Method ; Free Streamlines ; Schwarz Alternating Iteration ; Wakes ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: A fixed domain approach and a Baiocchi type transformation in conjunction with a modified Schwarz alternating iteration scheme are used to solve problems of flow past truncated convex shaped profiles between walls in a logarithmic hodograph plane. The flows are such that an open wake or cavity is formed behind the profile. The basic numerical scheme consists of the successive over-relaxation finite difference approach over the whole domain of the problem with the use of a projection operation over only part of the domain. The numerical results that are obtained using this approach for the cases of a truncated circular arc profile and a wedge profile are compared with published results and are found to be in good agreement.

Additional Material: 7 Ill.