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Dive into the research topics where Ladislav Frýba is active.

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Archive | 1972

Tables of integral transformations

Ladislav Frýba

Symbols used in the tables correspond to the conventional notation of mathematical literature, e.g. [32, 48, 49, 53, 171, 204]. Thus a, b, c, d, f, α, ω denote the positive real constants, n = 0, 1, 2, 3, ..., j = 1, 2, 3,..., etc. To the functions (originals) f (t), f (x) or f (r) belong the integral transformations (transforms) F(p), F(j) or F(q).


Archive | 1972

Moving continuous load

Ladislav Frýba

For large-span bridges the problem of the effects of a moving continuous load is of equal — if not greater — importance than the problem of a moving concentrated force. It has been treated at length by several authors, 1.1. Gol’denblat [97] and V. V. Bolotin [20] among them. In the next sections we shall deduce a stationary solution for the case of a moving endless strip of load also with the approximate effect of its mass, and an approximate solution for the load arrival to and departure from the beam. In conclusion we shall review some of our experimental results.


Archive | 1972

Moving random loads

Ladislav Frýba

So far in this book we have assumed that the load was specified in advance, i.e. that it had the form, for example, of a known function of time or of a quantity governed by a known functional dependence (so-called deterministic processes). Sometimes, however, such an assumption is far from reality; under certain circumstances actual loads, no less than the strength properties of structural materials, obey laws that are random to a greater or lesser degree (so-called stochastic processes).


Archive | 1972

The effect of shear and rotatory inertia

Ladislav Frýba

When analyzing beams with height-span ratios larger than about 1/10, or beams made of materials sensitive to shear stresses, one must also give consideration to the effect of shear and rotatory inertia.


Archive | 1972

Moving force arbitrarily varying in time

Ladislav Frýba

We shall now turn to the case of a simply supported beam with span I traversed at constant speed c by concentrated force P(t) arbitrarily varying in time. The calculation will also be carried out for several special cases of P(t).


Archive | 1972

Finite beams subjected to a force moving at high speed

Ladislav Frýba

We have seen in the preceding chapters that finite beams possess solution in Fourier series. The series are highly effective at low speeds of load motion. At high speeds of load motion it is already necessary to take a fairly large number of terms of the series. The deflections of finite beams are always finite because the moving force acts on them in a limited time interval only.


Archive | 1972

Plates subjected to a moving load

Ladislav Frýba

Vibration of plates under the action of a moving load has so far received but scant attention. The problem was treated by W. Nowacki [170] and K. Piszczek [180].


Archive | 1972

Thin-walled beams subjected to a moving load

Ladislav Frýba

Thin-walled beams are prismatic or cylindrical shells whose dimensions are quantities of different orders of magnitude. Their thickness is small compared to any of the characteristic cross-sectional dimensions, and the cross-sectional dimensions are small against the beam length.


Archive | 1972

Non-elastic properties of materials

Ladislav Frýba

The real properties of materials used in civil and mechanical engineering for structures intended to support moving loads, are very complicated. They depend not only on the macrophysical characteristics of the structure and its material but on the physical and chemical microstructure of matter as well. A detailed treatment of this topical subject is outside the scope of our book. All we plan to do here is to offer an analysis of beams whose materials possess some very simple non-elastic properties, i.e. examine several cases of viscoelastic and plastic properties of beams.


Archive | 1972

Infinite beam on elastic foundation

Ladislav Frýba

The problem of a force moving along an infinite beam on an elastic foundation is of great theoretical and practical significance. It was first solved by S. P. Timoshenko [217], and for the case of a constant force theoretically refined by J. Dorr [54] as to the transient phenomenon, and by J. T. Kenney [122]. The motion of a harmonic force was considered by P. M. Mathews [152], that of a sprung mass with two harmonic forces by E. G. Goloskokov and A. P. Filippov [98]. The case of an infinite beam traversed by a force generally variable in time was approximately solved by the author [68].

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