scholarly journals Probing the Stability of Ladder-Type Coilable Space Structures

AIAA Journal ◽  
2022 ◽  
pp. 1-13
Author(s):  
Fabien Royer ◽  
Sergio Pellegrino
2019 ◽  
Vol 69 (1) ◽  
pp. 185-198
Author(s):  
Fadoua Chigr ◽  
Frédéric Mynard

AbstractThis article fits in the context of the approach to topological problems in terms of the underlying convergence space structures, and serves as yet another illustration of the power of the method. More specifically, we spell out convergence-theoretic characterizations of the notions of weak base, weakly first-countable space, semi-metrizable space, and symmetrizable spaces. With the help of the already established similar characterizations of the notions of Frchet-Ursyohn, sequential, and accessibility spaces, we give a simple algebraic proof of a classical result regarding when a symmetrizable (respectively, weakly first-countable, respectively sequential) space is semi-metrizable (respectively first-countable, respectively Fréchet) that clarifies the situation for non-Hausdorff spaces. Using additionally known results on the commutation of the topologizer with product, we obtain simple algebraic proofs of various results of Y. Tanaka on the stability under product of symmetrizability and weak first-countability, and we obtain the same way a new characterization of spaces whose product with every metrizable topology is weakly first-countable, respectively symmetrizable.


2020 ◽  
Vol 20 (07) ◽  
pp. 2050072 ◽  
Author(s):  
A. Manuello

Latticed shells and domes usually consist of hundreds, sometimes thousands, beam elements connected by rigid or semi-rigid joints. These connecting elements result, generally, very sophisticated, made with different materials and constituted by disparate connection systems. Recently, the stiffness connections were studied, numerically and experimentally, as one of the most important factors influencing significantly the structural response of space structures and domes. Very often, in the design process, the joints are assumed to be hinged or clamped. This assumption may result significantly far from the actual condition of in-service structure and components, leading to not understanding or not being able to prevent sudden catastrophic collapses (buckling, snap-through). Thus, the inclusion of joint stiffness reduction in the numerical model is necessary, more and more also due to the types of external loads, such as overloads that occur during the life of the structure or, especially, seismic solicitations. In this paper, the stability of an existent timber dome has been studied increasing the yieldingness of the connecting nodes according to an original approach. In addition, sensitivity of this kind of structure to the amplitude and the geometrical imperfections shape have been also considered. Numerical analyses have been conducted with local displacement controls, to take into account the geometric nonlinearity effects. Results evidenced that the dome is affected by instability interaction for particular slenderness and stiffness reduction of the connections.


2005 ◽  
Vol 20 (2) ◽  
pp. 115-124 ◽  
Author(s):  
Zhi-Hua Chen ◽  
Yang Li

As a kind of hybrid space structures, the suspendome system increases the stiffness and improves the stability of the original dome system by the appropriate use of prestressing cables. Based on the engineering application of suspendome in Tianbao Center (completed in China, 2002), the present paper concentrates on the stability performance of the suspendome with a span of 35.4m using different structural parameters, including the rise-span ratio, magnitude and level settings of initial prestressing in cables, connection rigidity and boundary support condition. Stability performances including buckling mode, critical loads and sensitivity to initial geometric imperfection are studied in detail, and contrast analyses with the corresponding singly-layer shells are carried out to study the superiorities of the suspendome over the single-layer shell. Some valuable conclusions are drawn for practical design.


2012 ◽  
Vol 204-208 ◽  
pp. 1260-1266
Author(s):  
Tian Jiao Jin ◽  
Xiao Ming Guo ◽  
Wei Sun

The initial geometric imperfections and the contact problem between sheets and skeletons are two key issues of the stability analysis of sheet space structures. In this paper ,the distribution law of the critical load is found out, the appropriate sample number and the critical load value formula are chosen for stochastic imperfection method, while the value of probability reliability is ensured. The results of contact model and fully coordinated model are compared to indicate that the effect of contact must be considered in the imperfection sensitive analysis of the structure after stochastic imperfection sensitivity analysis of sheet space structures. The paper also raises the quantitative indicators to characterize the imperfection sensitivity of sheet space structure, and it is the necessary preparation to quantify the sensitivity of structures.


1994 ◽  
Vol 9 (4) ◽  
pp. 179-189 ◽  
Author(s):  
Antonio La Tegola ◽  
Luciano Ombres ◽  
Corrado Pecora

In this work, by the definition of a computer aided system, we describe an optimisation procedure of reticular space structures based on the search of the minimum volume of the bars. The design system is based on classical methods of solution of minimum problems, the Feasible Regulation Method and the Optimality Criteria Method, adapted to this problem of defining again the stability and convergence parameters. The research of the optimal solution is carried out with reference to popular commercial sections (tubes) taking into account dimensional constrains imposed by the industrial production and design codes. The results of some numerical examples show the versatility and the efficiency of the design system with regard to reticular structures of any shape and dimension.


2014 ◽  
Vol 937 ◽  
pp. 707-711
Author(s):  
Tian Jiao Jin ◽  
Xiao Ming Guo

The initial geometric imperfections is a key issue of the stability analysis of sheet space structures. A new described method of the initial geometric imperfections which is located in local spherical coordinate system is given, and the random imperfection variable is assumed to follow a truncated univariate normal distribution (TUVN). A well working envelope function for TUVN is chosen, and the acceptance rate is high for constrained region of the design code. The method provided in the paper is called spherical truncated normal stochastic imperfection method (STNS). The results of consistent mode imperfections method, traditional stochastic imperfection method and STNS method are compared, by which some conclusions that are useful for the design and the study of sheet space structures are obtained.


1982 ◽  
Vol 99 ◽  
pp. 605-613
Author(s):  
P. S. Conti

Conti: One of the main conclusions of the Wolf-Rayet symposium in Buenos Aires was that Wolf-Rayet stars are evolutionary products of massive objects. Some questions:–Do hot helium-rich stars, that are not Wolf-Rayet stars, exist?–What about the stability of helium rich stars of large mass? We know a helium rich star of ∼40 MO. Has the stability something to do with the wind?–Ring nebulae and bubbles : this seems to be a much more common phenomenon than we thought of some years age.–What is the origin of the subtypes? This is important to find a possible matching of scenarios to subtypes.


1999 ◽  
Vol 173 ◽  
pp. 309-314 ◽  
Author(s):  
T. Fukushima

AbstractBy using the stability condition and general formulas developed by Fukushima (1998 = Paper I) we discovered that, just as in the case of the explicit symmetric multistep methods (Quinlan and Tremaine, 1990), when integrating orbital motions of celestial bodies, the implicit symmetric multistep methods used in the predictor-corrector manner lead to integration errors in position which grow linearly with the integration time if the stepsizes adopted are sufficiently small and if the number of corrections is sufficiently large, say two or three. We confirmed also that the symmetric methods (explicit or implicit) would produce the stepsize-dependent instabilities/resonances, which was discovered by A. Toomre in 1991 and confirmed by G.D. Quinlan for some high order explicit methods. Although the implicit methods require twice or more computational time for the same stepsize than the explicit symmetric ones do, they seem to be preferable since they reduce these undesirable features significantly.


Author(s):  
Godfrey C. Hoskins ◽  
V. Williams ◽  
V. Allison

The method demonstrated is an adaptation of a proven procedure for accurately determining the magnification of light photomicrographs. Because of the stability of modern electrical lenses, the method is shown to be directly applicable for providing precise reproducibility of magnification in various models of electron microscopes.A readily recognizable area of a carbon replica of a crossed-line diffraction grating is used as a standard. The same area of the standard was photographed in Phillips EM 200, Hitachi HU-11B2, and RCA EMU 3F electron microscopes at taps representative of the range of magnification of each. Negatives from one microscope were selected as guides and printed at convenient magnifications; then negatives from each of the other microscopes were projected to register with these prints. By deferring measurement to the print rather than comparing negatives, correspondence of magnification of the specimen in the three microscopes could be brought to within 2%.


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