考虑理想弹塑性弯扭-Mohr-Coulomb-最大拉应力破坏准则,以及拉伸失效、压剪失效、转动屈服和扭转屈服4种失效模式,提出一种新的离散元弹塑性本构模型。该模型植入二次开发的三维颗粒流程序,通过数值试验研究宏细观参数关系,模拟Lac du B...考虑理想弹塑性弯扭-Mohr-Coulomb-最大拉应力破坏准则,以及拉伸失效、压剪失效、转动屈服和扭转屈服4种失效模式,提出一种新的离散元弹塑性本构模型。该模型植入二次开发的三维颗粒流程序,通过数值试验研究宏细观参数关系,模拟Lac du Bonnet(LDB)花岗岩试样压剪和拉伸强度试验。研究表明:颗粒转动弹塑性弯扭矩对宏观内摩擦角和黏聚力具有显著影响;宏观黏聚力随细观黏聚力和屈服弯扭矩增加而趋于恒定;宏观内摩擦角随屈服弯扭矩和细观摩擦系数增加而增加;岩石宏观单轴抗拉强度随细观极限拉应力的增加而趋于恒定;宏观弹性模量和泊松比主要受细观弹性模量和刚度比影响。弹塑性颗粒流本构模型模拟的LDB花岗岩的强度参数和变形参数,以及压拉强度比和裂缝分布与室内试验结果吻合较好。LDB花岗岩单轴压剪模拟试验在达到峰值应力前,试样内部裂缝以细观拉伸裂缝为主,从试样端部向中部发展成近似X状;在接近或超过峰值应力后,试样内部开始出现压剪裂缝、转动屈服裂缝和扭转屈服裂缝,从试样一端向另一端发展成单斜状,其倾角与宏观破坏倾角接近,发展成宏观压剪破坏面,从而揭示了宏观裂缝形成的细观机理。展开更多
Charles Bonnet综合征(CBS)的主要特征为发生于非精神异常患者的复杂性幻视,患病率约为0.4%～40%。其病因学尚不明确,临床特征亦复杂多样,目前尚无有效药物治疗。及时诊断、合理解释将有助于缓解患者情绪。治疗方案仍有待进一步研究。...Charles Bonnet综合征(CBS)的主要特征为发生于非精神异常患者的复杂性幻视,患病率约为0.4%～40%。其病因学尚不明确,临床特征亦复杂多样,目前尚无有效药物治疗。及时诊断、合理解释将有助于缓解患者情绪。治疗方案仍有待进一步研究。本文将近年来有关CBS的研究进行综述。展开更多
The bonnet tool polishing is a novel, advanced and ultra-precise polishing process, by which the freeform surface can be polished. However, during the past few years, not only the key technology of calculating the dwe...The bonnet tool polishing is a novel, advanced and ultra-precise polishing process, by which the freeform surface can be polished. However, during the past few years, not only the key technology of calculating the dwell time and controlling the surface form in the bonnet polishing has been little reported so far, but also little attention has been paid to research the material removal function of the convex surface based on the geometry model considering the influence of the curvature radius. Firstly in this paper, for realizing the control of the freeform surface automatically by the bonnet polishing, on the basis of the simplified geometric model of convex surface, the calculation expression of the polishing contact spot on the convex surface considering the influence of the curvature radius is deduced, and the calculation model of the pressure distribution considering the influence of the curvature radius on the convex surface is derived by the coordinate transformation. Then the velocity distribution model is built in the bonnet polishing the convex surface. On the basis of the above research and the semi-experimental modified Preston equation obtained from the combination method of experimental and theoretical derivation, the material removal model of the convex surface considering the influence of the curvature radius in the bonnet polishing is established. Finally, the validity of the model through the simulation method has been validated. This research presents an effective prediction model and the calculation method of material removal for convex surface in bonnet polishing and prepares for the bonnet polishing the free surface numerically and automatically.展开更多
The paper firstly analyzes the influence factor on material removal rate of curved optical work-pieces in the bonnet polishing. Then the experiments are conducted to reveal the effects of several polishing parameters ...The paper firstly analyzes the influence factor on material removal rate of curved optical work-pieces in the bonnet polishing. Then the experiments are conducted to reveal the effects of several polishing parameters on the material removal rate when the spherical optical glasses are polished with different curvature radius, such as the decrement of the bonnet, the rotational speed of the bonnet and the curvature radius of the work-piece＇s surface using a bonnet trial-manufacturing machine developed by our assignment groups. In the end, the curvilinear relationships between these parameters and the material removal rate are acquired and the laws of the effects on material removal rate in bonnet polishing by several parameters are given. When the spherical-pieces are polished with smaller curvature radius, it is not proportional to either bonnet decrement or bonnet rotational speed as described by the Preston equation although the removal rate increases as the relative velocity or the applied pressure increases. Therefore, for the purpose of calculating more accurately the material removal of the spherical work-pieces, the Preston equation should be modified and studied further.展开更多
With the increasing demand for high-precision optical components,bonnet polishing technology is increasingly being used in the polishing process of optical components owing to its high removal efficiency and high surf...With the increasing demand for high-precision optical components,bonnet polishing technology is increasingly being used in the polishing process of optical components owing to its high removal efficiency and high surface accuracy.However,it is expensive and difficult to implement dedicated bonnet polishing machine tools,and their processing range is limited.This research combines bonnet polishing technology with industrial robot-assisted processing technology to propose a robotic bonnet polishing control model for large-diameter axisymmetric aspherical optical components.Using the transformation relations of the spatial coordinate system,the transformation relations of the workpiece coordinate system,local coordinate system of the polishing point,and tool coordinate system of the bonnet sphere center are established to obtain the bonnet precession polishing motion model.The polishing trajectory of large-diameter axisymmetric aspherical components and the variation in the linkage angle difference were simulated by adding an efficiency-optimal control strategy to the motion model.The robot motion was simulated in Robostudio to verify the correctness of the precession motion model and control algorithm.Lastly,the robotic bonnet polishing system was successfully applied to the polishing process of the optical components.展开更多
An important question that arises is which surfaces in three-space admit a mean curvature preserving isometry which is not an isometry of the whole space. This leads to a class of surface known as a Bonnet surface in ...An important question that arises is which surfaces in three-space admit a mean curvature preserving isometry which is not an isometry of the whole space. This leads to a class of surface known as a Bonnet surface in which the number of noncongruent immersions is two or infinity. The intention here is to present a proof of a theorem using an approach which is based on differential forms and moving frames and states that helicoidal surfaces necessarily fall into the class of Bonnet surfaces. Some other results are developed in the same manner.展开更多
By using a new approach,we demonstrate the analytic expressions for slowly rotating Gauss-Bonnet charged black hole solutions with one non-vanishing angular momentum in higher-dimensional anti-de Sitter spaces.Up to l...By using a new approach,we demonstrate the analytic expressions for slowly rotating Gauss-Bonnet charged black hole solutions with one non-vanishing angular momentum in higher-dimensional anti-de Sitter spaces.Up to linear order of the rotating parameter a,the mass,Hawking temperature and entropy of the charged black holes get no corrections from rotation.展开更多
From the perturbation around the background spacetimes in the Gauss Bonnet gravity, we find the physical evidence that Ricci fiat AdS black holes and AdS solitons are different physical configurations and stay in diff...From the perturbation around the background spacetimes in the Gauss Bonnet gravity, we find the physical evidence that Ricci fiat AdS black holes and AdS solitons are different physical configurations and stay in different phases, this serves as a strong support to the previous mathematical and thermodynamieal arguments.展开更多
To the Riemann hypothesis, we investigate first the approximation by step-wise Omega functions Ω(u) with commensurable step lengths u0 concerning their zeros in corresponding Xi functions Ξ(z). They are periodically...To the Riemann hypothesis, we investigate first the approximation by step-wise Omega functions Ω(u) with commensurable step lengths u0 concerning their zeros in corresponding Xi functions Ξ(z). They are periodically on the y-axis with period proportional to inverse step length u0. It is found that they possess additional zeros off the imaginary y-axis and additionally on this axis and vanish in the limiting case u0 → 0 in complex infinity. There remain then only the “genuine” zeros for Xi functions to continuous Omega functions which we call “analytic zeros” and which lie on the imaginary axis. After a short repetition of the Second mean-value (or Bonnet) approach to the problem and the derivation of operational identities for Trigonometric functions we give in Section 8 a proof for the position of these genuine “analytic” zeros on the imaginary axis by construction of a contradiction for the case off the imaginary axis. In Section 10, we show by a few examples that monotonically decreasing of the Omega functions is only a sufficient condition for the mentioned property of the positions of zeros on the imaginary axis but not a necessary one.展开更多
文摘考虑理想弹塑性弯扭-Mohr-Coulomb-最大拉应力破坏准则,以及拉伸失效、压剪失效、转动屈服和扭转屈服4种失效模式,提出一种新的离散元弹塑性本构模型。该模型植入二次开发的三维颗粒流程序,通过数值试验研究宏细观参数关系,模拟Lac du Bonnet(LDB)花岗岩试样压剪和拉伸强度试验。研究表明:颗粒转动弹塑性弯扭矩对宏观内摩擦角和黏聚力具有显著影响;宏观黏聚力随细观黏聚力和屈服弯扭矩增加而趋于恒定;宏观内摩擦角随屈服弯扭矩和细观摩擦系数增加而增加;岩石宏观单轴抗拉强度随细观极限拉应力的增加而趋于恒定;宏观弹性模量和泊松比主要受细观弹性模量和刚度比影响。弹塑性颗粒流本构模型模拟的LDB花岗岩的强度参数和变形参数,以及压拉强度比和裂缝分布与室内试验结果吻合较好。LDB花岗岩单轴压剪模拟试验在达到峰值应力前,试样内部裂缝以细观拉伸裂缝为主,从试样端部向中部发展成近似X状;在接近或超过峰值应力后,试样内部开始出现压剪裂缝、转动屈服裂缝和扭转屈服裂缝,从试样一端向另一端发展成单斜状,其倾角与宏观破坏倾角接近,发展成宏观压剪破坏面,从而揭示了宏观裂缝形成的细观机理。
基金Supported by Young Teacher Independent Research Subject of Yanshan University of China(Grant No.15LGA002)
文摘The bonnet tool polishing is a novel, advanced and ultra-precise polishing process, by which the freeform surface can be polished. However, during the past few years, not only the key technology of calculating the dwell time and controlling the surface form in the bonnet polishing has been little reported so far, but also little attention has been paid to research the material removal function of the convex surface based on the geometry model considering the influence of the curvature radius. Firstly in this paper, for realizing the control of the freeform surface automatically by the bonnet polishing, on the basis of the simplified geometric model of convex surface, the calculation expression of the polishing contact spot on the convex surface considering the influence of the curvature radius is deduced, and the calculation model of the pressure distribution considering the influence of the curvature radius on the convex surface is derived by the coordinate transformation. Then the velocity distribution model is built in the bonnet polishing the convex surface. On the basis of the above research and the semi-experimental modified Preston equation obtained from the combination method of experimental and theoretical derivation, the material removal model of the convex surface considering the influence of the curvature radius in the bonnet polishing is established. Finally, the validity of the model through the simulation method has been validated. This research presents an effective prediction model and the calculation method of material removal for convex surface in bonnet polishing and prepares for the bonnet polishing the free surface numerically and automatically.
基金Foundation of Harbin Institute of Technology,China(No.HIT.2001.10)Harbin Municipal Youth Foundation of China(No.2002AFQXJ040).
文摘The paper firstly analyzes the influence factor on material removal rate of curved optical work-pieces in the bonnet polishing. Then the experiments are conducted to reveal the effects of several polishing parameters on the material removal rate when the spherical optical glasses are polished with different curvature radius, such as the decrement of the bonnet, the rotational speed of the bonnet and the curvature radius of the work-piece＇s surface using a bonnet trial-manufacturing machine developed by our assignment groups. In the end, the curvilinear relationships between these parameters and the material removal rate are acquired and the laws of the effects on material removal rate in bonnet polishing by several parameters are given. When the spherical-pieces are polished with smaller curvature radius, it is not proportional to either bonnet decrement or bonnet rotational speed as described by the Preston equation although the removal rate increases as the relative velocity or the applied pressure increases. Therefore, for the purpose of calculating more accurately the material removal of the spherical work-pieces, the Preston equation should be modified and studied further.
基金Science and Technology Projects of Shenzhen(Grant No.JCYJ20180306172924636).
文摘With the increasing demand for high-precision optical components,bonnet polishing technology is increasingly being used in the polishing process of optical components owing to its high removal efficiency and high surface accuracy.However,it is expensive and difficult to implement dedicated bonnet polishing machine tools,and their processing range is limited.This research combines bonnet polishing technology with industrial robot-assisted processing technology to propose a robotic bonnet polishing control model for large-diameter axisymmetric aspherical optical components.Using the transformation relations of the spatial coordinate system,the transformation relations of the workpiece coordinate system,local coordinate system of the polishing point,and tool coordinate system of the bonnet sphere center are established to obtain the bonnet precession polishing motion model.The polishing trajectory of large-diameter axisymmetric aspherical components and the variation in the linkage angle difference were simulated by adding an efficiency-optimal control strategy to the motion model.The robot motion was simulated in Robostudio to verify the correctness of the precession motion model and control algorithm.Lastly,the robotic bonnet polishing system was successfully applied to the polishing process of the optical components.
文摘An important question that arises is which surfaces in three-space admit a mean curvature preserving isometry which is not an isometry of the whole space. This leads to a class of surface known as a Bonnet surface in which the number of noncongruent immersions is two or infinity. The intention here is to present a proof of a theorem using an approach which is based on differential forms and moving frames and states that helicoidal surfaces necessarily fall into the class of Bonnet surfaces. Some other results are developed in the same manner.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10875060,10975180 and 11047025.
文摘By using a new approach,we demonstrate the analytic expressions for slowly rotating Gauss-Bonnet charged black hole solutions with one non-vanishing angular momentum in higher-dimensional anti-de Sitter spaces.Up to linear order of the rotating parameter a,the mass,Hawking temperature and entropy of the charged black holes get no corrections from rotation.
文摘From the perturbation around the background spacetimes in the Gauss Bonnet gravity, we find the physical evidence that Ricci fiat AdS black holes and AdS solitons are different physical configurations and stay in different phases, this serves as a strong support to the previous mathematical and thermodynamieal arguments.
文摘To the Riemann hypothesis, we investigate first the approximation by step-wise Omega functions Ω(u) with commensurable step lengths u0 concerning their zeros in corresponding Xi functions Ξ(z). They are periodically on the y-axis with period proportional to inverse step length u0. It is found that they possess additional zeros off the imaginary y-axis and additionally on this axis and vanish in the limiting case u0 → 0 in complex infinity. There remain then only the “genuine” zeros for Xi functions to continuous Omega functions which we call “analytic zeros” and which lie on the imaginary axis. After a short repetition of the Second mean-value (or Bonnet) approach to the problem and the derivation of operational identities for Trigonometric functions we give in Section 8 a proof for the position of these genuine “analytic” zeros on the imaginary axis by construction of a contradiction for the case off the imaginary axis. In Section 10, we show by a few examples that monotonically decreasing of the Omega functions is only a sufficient condition for the mentioned property of the positions of zeros on the imaginary axis but not a necessary one.
