small curvature
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2021 ◽  
Vol 32 (2-3) ◽  
pp. 251-252
Author(s):  
Yves. Galant

(A. Ritter, Beitrag zur Kenntniss des Neurinoms des Magens. "Schw. Med. W." No. 50. 1931) describes a rare case of gastric neuroma. During the operation, a tumor the size of a hazelnut 3: 3 tbsp. Was removed from the stomach wall (small curvature, approximately in the middle part of the body). Metastases were not found anywhere.


2021 ◽  
Author(s):  
Ping Xu ◽  
Danhui Xi

Abstract According to the existing practical engineering data, the settlement curve of shield tunnel with small curvature radius is obviously different from that of straight tunnel, so using Peck formula to forecast the surface settlement is not applicable. This paper describes results from a series of the laboratory test based on similarity theory carried out in sandy soil. According to the test results, the characteristics of surface settlement caused by small radius tunnel excavation are summarized, and the effects of turning radius and buried depth on the surface settlement are demonstrated. Based on Gaussian formula, a method to forecast the surface settlement caused by construction of shield tunnel with small curvature radius is developed.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Paul M. N. Feehan

Abstract For any compact Lie group 𝐺 and closed, smooth Riemannian manifold ( X , g ) (X,g) of dimension d ≥ 2 d\geq 2 , we extend a result due to Uhlenbeck (1985) that gives existence of a flat connection on a principal 𝐺-bundle over 𝑋 supporting a connection with L p L^{p} -small curvature, when p > d / 2 p>d/2 , to the case of a connection with L d / 2 L^{d/2} -small curvature. We prove an optimal Łojasiewicz–Simon gradient inequality for abstract Morse–Bott functions on Banach manifolds, generalizing an earlier result due to the author and Maridakis (2019), principally by removing the hypothesis that the Hessian operator be Fredholm with index zero. We apply this result to prove the optimal Łojasiewicz–Simon gradient inequality for the self-dual Yang–Mills energy function near regular anti-self-dual connections over closed Riemannian four-manifolds and for the full Yang–Mills energy function over closed Riemannian manifolds of dimension d ≥ 2 d\geq 2 , when known to be Morse–Bott at a given Yang–Mills connection. We also prove the optimal Łojasiewicz–Simon gradient inequality by direct analysis near a given flat connection that is a regular point of the curvature map.


Author(s):  
Maiara Oliveira Passos ◽  
Igor Araujo Lins ◽  
Mateus Fernandes Venâncio ◽  
Tiago Vinicius Alves

Thermal rate coefficients for the hydrogen abstraction reactions of 3-butenal by hydrogen atom were obtained applying the multipath canonical variational theory with small-curvature tunneling (MP-CVT/SCT). Torsional anharmonicity due to the...


2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Chao Zhang ◽  
Chao Wang ◽  
Xibin Niu ◽  
Shaoqiang Zhang ◽  
Huiling Zhao

In the construction of mountain highway, in order to avoid complicated geology and adapt to the requirements of the terrain of the large height difference and the large slope, the double-line spiral tunnels are gradually applied. The purpose of this paper is to analyze the mechanical behavior of the double-line spiral tunnel and its surrounding rock under different line curvatures, and to obtain the influence of the curvature of the spiral tunnel on the stability of the double-line tunnel construction. The analysis of this paper is based on the engineering background of double-line spiral tunnels in China’s Yunnan province. The elastoplastic three-dimensional rock strata-tunnel by means of finite difference FLAC3D software was established to simulate the construction process. The model was verified by comparing the calculation results and the actual monitoring data of tunnel vault settlement. The small curvature radius spiral makes the mechanical behavior of the double-line tunnel uneven and the surrounding rock deformed unevenly. A quantitative analysis and qualitative evaluation of the influence of curvature radius were established by the systematic evaluation index of (1) ratio of compressive stress on both sides of the tunnel, (2) stress ratio of double-line tunnel, (3) convergent deformation of the cross section of the tunnel, and (4) deformation of the surrounding rock on the top of the tunnel. The results show that the small curvature radius (less than 200 m) will make the inner pressure of the inner tunnel significantly greater than the external pressure stress, showing obvious asymmetry, and the inner tunnel vault tensile stress is greater than the outer tunnel. With the increase of the curvature radius (about more than 400 m), the ratio of the compressive stress on the inside and outside of the tunnel tends to be constant, and the bias condition is weakened and stabilized. Meanwhile, the smaller curvature radius makes the convergent deformation of the cross section of the tunnel appear asymmetrical, and the compression quantity inside the tunnel center line is larger. It provides a reference basis for the stability control of the construction of the double-line spiral tunnels in the mountainous area.


Sensors ◽  
2020 ◽  
Vol 20 (20) ◽  
pp. 5849 ◽  
Author(s):  
Farizah Ansarudin ◽  
Tharek Abd Rahman ◽  
Yoshihide Yamada ◽  
Nurul Huda Abd Rahman ◽  
Kamilia Kamardin

In the 5G mobile system, new features such as millimetre wave operation, small cell size and multi beam are requested at base stations. At millimetre wave, the base station antennas become very small in size, which is about 30 cm; thus, dielectric lens antennas that have excellent multi beam radiation pattern performance are suitable candidates. For base station application, the lens antennas with small thickness and small curvature are requested for light weight and ease of installation. In this paper, a new lens shaping method for thin and small lens curvature is proposed. In order to develop the thin lens antenna, comparisons of antenna structures with conventional aperture distribution lens and Abbe’s sine lens are made. Moreover, multi beam radiation pattern of three types of lenses are compared. As a result, the thin and small curvature of the proposed lens and an excellent multi beam radiation pattern are ensured.


Author(s):  
V. M. Zyablikov ◽  
B. V. Buketkin ◽  
V. F. Smirnov ◽  
A. A. Shirshov

The main purpose of couplings with elastic elements is to reduce dynamic loads and reduce the level of dangerous vibration amplitudes. Sometimes it is necessary for this purpose to install such couplings directly in the units, since they have large amplitudes of torsional vibrations. Drive couplings with elastic elements – steel split sleevescan be installed inside the units. The design of the coupling, which is built into the gear wheel of the reducer, is shown. The main characteristic of drive clutches with elastic elements is torsional rigidity. A detailed output of the formula for calculating the stiffness of such couplings is given. The conclusion is based on determining the deformation of split sleeves taken as rods of small curvature.


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