Torse surfaces on a rectangular plan with two plane curves on the opposite ends
https://doi.org/10.33979/2073-7416-2025-117-1-3-15
Abstract
Research of geometrical problems of torse surfaces with cuspidal edge, the outset of which was put by G. Monge, are not stopped till present time. Much less of works were devoted to study of stress-strain state, stability, and to vibration of thin torse shells. Apparently, this is connected with absence of real projects of structures in the form of torses, with the exception of products in the form of developable helicoids and objects of garden architecture. The offered paper is devoted to the realization of the methodic of design of form of torse surface with two directrix plane curves given in advance. This surface is placed on the rectangular plan and has the straight generatrixes coinciding with two sides of this rectangular plan. Theoretical constructions were illustrated and visualized with the help computer graphics. Five torse surfaces with geometrical condition given in advance were constructed. Algebraical curves of the second order, superellipses, and biquadratic parabola were chosen as directrix curves. One can increase a list of used plane curves if curves can be defined in explicit, parametrical, or in vector form.
About the Author
S. N. Krivoshapko
The Peoples' Friendship University of Russia
Russian Federation
Russian Federation
Krivoshapko Sergey Nikolaevich - Doctor of Tech. Sc., Professor
Moscow
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Review
For citations:
Krivoshapko S.N. Torse surfaces on a rectangular plan with two plane curves on the opposite ends. Building and Reconstruction. 2025;1(1):3-15. (In Russ.) https://doi.org/10.33979/2073-7416-2025-117-1-3-15
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