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  • 1
    Electronic Resource
    Electronic Resource
    Parametric Excitation of Nonlinear Elastic Systems Involving Hydrodynamic Sloshing Impact (1999)
    Springer
    Nonlinear dynamics 18 (1999), S. 25-50 
    Details
    ISSN: 1573-269X
    Keywords: liquid sloshing modeling ; impact ; parametric resonance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The parametric excitation of an elevated water tower experiencing sloshing hydro-dynamic impact is studied using the multiple scales method. The liquid sloshing mass is replaced by a mechanical model in the form of a simple pendulum experiencing impacts with the tank walls. The impact loads are modeled based on a phenomenological representation in the form of a power function with a higher exponent. In this case the system equations of motion include impact nonlinearities (selected to be of fifth power) and cubic structural geometric nonlinearities. When the first mode is parametrically excited the system exhibits hard nonlinear behavior and the impact loading reduced the response amplitude. On the other hand, when the second mode is parametrically excited, the impact loading results in complex response behavior characterized by multiple steady state solutions, where the response switches from soft to hard nonlinear characteristics. Under combined parametric resonance, the system possesses a single steady-state response in the absence and in the presence of impact. However, the system behaves like a soft system in the absence of impact and like a hard system in the presence of impact.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008384709906
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  • 2
    Electronic Resource
    Electronic Resource
    Free-surface flow over a polygonal and smooth topography (1993)
    Springer
    Acta mechanica 100 (1993), S. 241-251 
    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 The study of two-dimensional, irrotational, inviscid, incompressible steady state motion generated by a polygonal and a smooth obstruction, is made in terms of the linearized theory. The bottom is represented in integral form using Fourier's double integral theorem. Then following Lamb [1], a linear free-surface profile is obtained for the supercritical and subcritical cases. The results are plotted and discussed for the two cases of the flow for different shapes of the bottom and different values of Froude number,F.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01174792
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  • 3
    Electronic Resource
    Electronic Resource
    Higher order approximation for local behaviour of two dimensional flows at the confluence of free streamlines and analytic solid boundaries (1989)
    Springer
    Acta mechanica 76 (1989), S. 243-252 
    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 The problem considered is a steady, two-dimensional, and irrotational flow of an incompressible and inviscid fluid under the action of gravity. The boundary of the flow domain consists of a free boundary part “C f ” and an analytic solid boundary part “C s ” and they meet in a common endpoint “0”. The flow is determined by the inverse velocity potential functionz=f(w) and the conjugate flow velocity $$u = \frac{{dw}}{{dz}}$$ is given by the reciprocal derivative $$u\left( w \right) = \frac{1}{{f'\left( w \right)}}$$ . Following the method suggested by Carter, we will be able to expressz(w) andu(w) as an infinite asymptotic expansion near the origin in powers ofw 1/2 andw 1/2 lnw. Upon imposing the flow conditions on these expansions we will obtain the expansion of the conjugate velocityu to terms of orderw 3/2 as well as the shape of free streamline. The importance of the results of this problem is that it gives simple, and more accurate, qualitative features of the local flow behaviour. Numerical examples have been considered and the results are given in quantitative diagrams to show the progress of the obtained higher approximation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01253583
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  • 4
    Electronic Resource
    Electronic Resource
    Linearised solution of a free-surface flow over a trapezoidal obstacle (1989)
    Springer
    Acta mechanica 78 (1989), S. 219-233 
    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 A theoretical study is made, of an irrotational, inviscid incompressible and steady flow over a two-dimensional trapezoidal obstacle; with disturbing height ε, lying on the bottom of the running stream, in terms of a linearised theory. Particular attention is given to two cases of the flow, the supercritical and the subcritical. The bottom is represented in integral form using Fourier's double-integral theorem. Following the method suggested by Thomson (1886) and Lamb (1932), we obtain a linearised free-surface profile in series form for the two cases of flow. The linearised solution obtained is based on the assumption that the height of the trapezoidal bump, ε, is small compared to the channel depth,h. The nature of the free-surface formed depends on whether the flow is subcritical or supercritical. The results are plotted for the two cases of the flow for different shapes of the bottom and different values of Froude number,F. The effect of the Froude number, the bottom height and the shape of the bottom are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01179218
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  • 5
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    Higher order approximation for local behaviour of two dimensional flows at the confluence of free streamlines and analytic solid boundaries (1989)
    Springer
    Details
    Publication Date: 1989-03-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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  • 6
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    Free-surface flow over a polygonal and smooth topography (1993)
    Springer
    Details
    Publication Date: 1993-09-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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  • 7
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    Linearised solution of a free-surface flow over a trapezoidal obstacle (1989)
    Springer
    Details
    Publication Date: 1989-07-01
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Springer
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