continuous curvature
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2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Ruixue Zhai ◽  
Pengcheng Fu ◽  
Rui Ma ◽  
Jun Zhao ◽  
Cuiyun Ge

The parts formed by the bending process not only have high precision of appearance dimension but also have good performance. In recent years, enterprises have put forward higher requirements for the forming process and product quality. Therefore, a new method for iterative compensation of bending springback with certain generality is proposed for continuous curvature bending. The purpose of this study is to take curvature as an iterative parameter and make the shape size reach the expected value through the finite compensation. On the basis of establishing this iterative compensation mechanism, the convergence of curvature iteration in the general free bending process is proved. The reliability of the proposed iterative compensation method in the bending process engineering application is verified by combining simulation with experiment. The two materials of 304 stainless steel and ST12 cold rolled steel were studied, and the two-dimensional plane stress-strain model Abaqus cantilever beam was established by using finite element software. The bending forming simulation was carried out based on the above iterative compensation mechanism. Finally, through the bending experiments of four models, the feasibility of the iterative compensation mechanism of curvature in the continuous curvature plane bending process is verified, and different models are selected to clarify that the method has the characteristics of generality, that is, it will greatly improve the flexibility of the bending process in industrial applications without the limitation of material types and mechanical models.


2021 ◽  
Author(s):  
Matthias Wolf ◽  
Jae-Kyung Hyun ◽  
Hideyuki Matsunami ◽  
Tae Gyun Kim

Abstract In Vaccinia virus (VACV), the prototype poxvirus, scaffold protein D13 forms a honeycomb-like lattice on the viral membrane that results in formation of the pleomorphic immature virion (IV). The structure of D13 is similar to those of major capsid proteins that readily form icosahedral capsids in nucleocytoplasmic large DNA viruses (NCLDVs). However, the detailed assembly mechanism of the non-icosahedral poxvirus scaffold has never been understood. Here we show the cryo-EM structures of D13 trimer and scaffold intermediates produced in vitro. The structures reveal that the short N-terminal α-helix is critical for initiation of D13 self-assembly. The continuous curvature of the IV is mediated by electrostatic interactions that induce torsion between trimers. The assembly mechanism explains the semi-ordered capsid-like arrangement of D13 that is distinct from icosahedral NCLDVs. Our structures explain how a single protein can self-assemble into different capsid morphologies, and represents a local exception to the universal Caspar-Klug theory of quasi-equivalence.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yan Qian ◽  
Zhaoqiang Wang ◽  
Wei Liang ◽  
Chenhui Lu

PurposeThe purpose of this study is to solve the problem of path planning and path tracking in the automatic parking assistant system.Design/methodology/approachThis paper first uses the method of reverse driving to confirm few control points based on the constraints of the construction of the vehicle and the environment information, then a reference path with free-collision and continuous curvature is designed based on the Bézier curve. According to the principle of the discrete linear quadratic regulator (LQR), a tracking controller that combines feedforward control and feedback control is designed.FindingsFinally, simulation analysis are carried out in Simulink and CARSIM. The results show that the proposed method can obtain a better path tracking effect when the parking space size is appropriate.Originality/valueAccording to the principle of the discrete LQR, a tracking controller that combines feedforward control and feedback control is designed.


2021 ◽  
Vol 11 (17) ◽  
pp. 8178
Author(s):  
Leiyan Yu ◽  
Xianyu Wang ◽  
Zeyu Hou ◽  
Zaiyou Du ◽  
Yufeng Zeng ◽  
...  

To optimize performances such as continuous curvature, safety, and satisfying curvature constraints of the initial planning path for driverless vehicles in parallel parking, a novel method is proposed to train control points of the Bézier curve using the radial basis function neural network method. Firstly, the composition and working process of an autonomous parking system are analyzed. An experiment concerning parking space detection is conducted using an Arduino intelligent minicar with ultrasonic sensor. Based on the analysis of the parallel parking process of experienced drivers and the idea of simulating a human driver, the initial path is planned via an arc-line-arc three segment composite curve and fitted by a quintic Bézier curve to make up for the discontinuity of curvature. Then, the radial basis function neural network is established, and slopes of points of the initial path are used as input to train and obtain horizontal ordinates of four control points in the middle of the Bézier curve. Finally, simulation experiments are carried out by MATLAB, whereby parallel parking of driverless vehicle is simulated, and the effects of the proposed method are verified. Results show the trained and optimized Bézier curve as a planning path meets the requirements of continuous curvature, safety, and curvature constraints, thus improving the abilities for parallel parking in small parking spaces.


Author(s):  
Jörg Roth

Continuous‐curvature paths play an important role in the area of driving robots: as vehicles usually cannot changethe steering angle in zero‐time, real trajectories must not have discontinuities in the curvature profile. Typical continuous‐curvature paths are thus built of straight lines, arcs and clothoids. Due to the geometric nature of clothoids, some questions in the area of trajectory planning are difficult the answer – usually we need approximations here. In this paper we describe a full approach for continuous‐curvature trajectory planning for mobile robots – it covers a maneuver‐based planning with Viterbi optimization and geometric approximations required to construct the respective clothoid trajectories.


Author(s):  
Hiroaki Sakono ◽  
Keigo Matsumoto ◽  
Takuji Narumi ◽  
Hideaki Kuzuoka

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