Wyniki wyszukiwania - BazTech

1

Analytical study on dynamic response of cantilever flexible retaining wall

Yang Xiuzhu, Liu Xinyuan, Zhao Shuang, Yu Jun

Archives of Civil Engineering

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2023

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Vol. 69, nr 2

435--453

EN

Based on wave mechanics theory, the dynamic response characteristics of cantilever flexible wall in two-dimensional site are analyzed. The partial derivative of the vibration equation of soil layer is obtained, and the general solution of the volume strain is obtained by the separation of variables method. The obtained solution is substituted back to the soil layer vibration equation to obtain the displacement vibration general solution. Combined with the soil-wall boundary condition and the orthogonality of the trigonometric function, the definite solution of the vibration equation is obtained. The correctness of the solution is verified by comparing the obtained solution with the existing simplified solution and the solution of rigid retaining wall, and the applicable conditions of each simplified solution are pointed out. Through parameter analysis, it is shown that when the excitation frequency is low, the earth pressure on the wall is greatly affected by the soil near the wall. When the excitation frequency is high, the influence of the far-field soil on the earth pressure of the wall gradually increases. The relative stiffness of the wall, the excitation frequency and the soil layer damping factor have a significant effect on the dynamic response of the flexible retaining wall.

2

Quaternions and Cauchy Classical Theory of Elasticity

Danielewski Marek, Sapa Lucjan

Advances in Manufacturing Science and Technology

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2020

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Vol. 44, nr 2

67--70

EN

Developed by French mathematician Augustin-Louis Cauchy, the classical theory of elasticity is the starting point to show the value and the physical reality of quaternions. The classical balance equations for the isotropic, elastic crystal, demonstrate the usefulness of quaternions. The family of wave equations and the diffusion equation are a straightforward consequence of the quaternion representation of the Cauchy model of the elastic solid. Using the quaternion algebra, we present the derivation of the quaternion form of the multiple wave equations. The fundamental consequences of all derived equations and relations for physics, chemistry, and future prospects are presented.

3

Teoria kwantów [rec.]

Sobczyk J.

Postępy Fizyki

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2002

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T. 53, z. 4

214-214

PL

Recenzja książki: Iwo Białynicki-Birula, Marek Cieplak, Jerzy Kamiński - Teoria kwantów. Mechanika falowa, Wydawnictwo Naukowe PWN, Warszawa 2001, s. 500.

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Symulacja numeryczna rozprzestrzeniania fal sprężystych w warstwowym ośrodku izotropowym.

Szcześniak Z.

Prace Naukowe Instytutu Geotechniki i Hydrotechniki Politechniki Wrocławskiej. Konferencje

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2001

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Vol. 73, nr 40

487-494

PL

W referacie zaproponowano sposób modelowania numerycznego propagacji fal sprężystych w warstwowym ośrodku izotropowym. Propozycja jest uogólnieniem metody symulacji przedstawionej w [1]. Wykazano, że omawiane modelowanie ogranicza efekt "mesh-dependent".

EN

A manner of numerical modelling of elastic wave propagation in the isotropic layered medium is proposed in this paper. The proposition is a generalization of the method that was presented in [1]. The main element of this method is the proposition of a spatial discrete structure and deformation model. The modelling is carried out within the framework of the finite difference method. It was pointed that, the proposed modelling limits the mesh-dependent effect. In addition, it can be observed, that the simulation is a good tool for the wave analysis of nontypical engineering problems in the geotechnical range.

5

Komputerowa symulacja strumienia kumulacyjnego z wkładki półsferycznej

Jach K., Sarzyński A., Świerczyński R., Tyl J.

Biuletyn Wojskowej Akademii Technicznej

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1998

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Vol. 47, nr 5

5-22

PL

W pracy przedstawiono model teoretyczny oraz przykładowe wyniki komputerowego modelowania formowania strumienia kumulacyjnego w układzie z wkładką półsferyczną. Równania problemu rozwiązano numerycznie za pomocą metody ponktów swobodnych. Uzyskane wyniki z dużą dokładnością zgadzają się z danymi eksperymentalnymi i wynikami otrzymanymi za pomocą innych kodów numerycznych.

EN

In the paper the theoretical model and exemplary results of computer simulations, illustrating processes of the explosively driven formation of shaped charge jet, have been presented. Equations of the problem have been solved numerically using the free particles method. The results obtained are in a good agreement with the experimental data and with the results of other numerical codes.