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Global Periodic Solutions in a Delayed Predator-Prey System with Holling II Functional Response
Jiang, Zhichao,Wang, Hongtao,Wang, Hongmei Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.2
We consider a delayed predator-prey system with Holling II functional response. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed prey-predator model using the basic theorem on zeros of general transcendental function, which was established by Cook etc.. Secondly, special attention is paid to the global existence of periodic solutions bifurcating from Hopf bifurcations. By using a global Hopf bifurcation result due to Wu, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of delay. Finally, several numerical simulations supporting the theoretical analysis are given.
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Jing Ji,Zhichao Xu,Liangqin Jiang,Chaoqing Yuan,Yunfeng Zhang,Lijian Zhou,Shilong Zhang 한국강구조학회 2018 International Journal of Steel Structures Vol.18 No.4
This paper was concerned with the nonlinear analysis on the overall stability of H-type honeycombed composite column with rectangular concrete-fi lled steel tube fl anges (STHCC). The nonlinear analysis was performed using ABAQUS, a commercially available fi nite element (FE) program. Nonlinear buckling analysis was carried out by inducing the fi rst buckling mode shape of the hinged column to the model as the initial imperfection with imperfection amplitude value of L /1000 and importing the simplifi ed constitutive model of steel and nonlinear constitutive model of concrete considering hoop eff ect. Close agreement was shown between the experimental results of 17 concrete-fi lled steel tube (CFST) specimens and 4 I-beams with top fl anges of rectangular concrete-fi lled steel tube (CFSFB) specimens conducted by former researchers and the predicted results, verifying the correctness of the method of FE analysis. Then, the FE models of 30 STHCC columns were established to investigate the infl uences of the concrete strength grade, the nominal slenderness ratio, the hoop coeffi cient and the fl ange width on the nonlinear stability capacity of SHTCC column. It was found that the hoop coeffi cient and the nominal slenderness ratio aff ected the nonlinear stability capacity more signifi cantly. Based on the results of parameter analysis, a formula was proposed to predict the nonlinear stability capacity of STHCC column which laid the foundation of the application of STHCC column in practical engineering.
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Identification and Adjustment of the Pretension Deviation in Cable-Strut Tensile Structures
Lian-meng Chen,Zhichao Jiang,Wei-feng Gao,Yi-yi Zhou 대한토목학회 2020 KSCE Journal of Civil Engineering Vol.24 No.1
Construction errors inevitably arise in real cable-strut tensile structures. Nevertheless, construction error analysis and evaluation, as well as methods to identify the source of the errors and proper adjustment methods to compensate for these errors, remain in their infancies. In this study, the relationship between pretension deviation and element length deviation is first established based on the three basic equations for pin-joint structures. On this basis, identification methods are proposed to identify the sources of the pretension deviation caused by the active cable length deviation and the pretension deviation caused by both the active and the passive cable length deviations. Using measured data, an adjustment method is developed for the pretension deviation under different scenarios. Furthermore, the effectiveness of the adjustment method for the pretension deviation is discussed using the evaluation indices. Finally, a case study is presented and demonstrates that the proposed identification method can identify the sources of the pretension deviations. The number of adjusted cables will affect the level of adjustment for the pretension deviation. During the adjustment of the pretension deviation, different adjustment methods will result in different shape deviations and different maximum displacements.
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Zengxu Qian,Jingwei Jiang,Yunlong Sun,Qiliang Yuan,Zhichao Wang,Zhipeng Wang,Guangyuan Zhou 한국고분자학회 2023 Macromolecular Research Vol.31 No.8
Though phenolphthalein poly(aryl ether ketone) (PEK-C) has gained attention as a special engineering plastic materials by virtue of its good thermal stability and favorable mechanical properties, its applications are limited due to its wide PDI during polymerization, which result in poor mechanical properties of PEK-C. In order to investigate the effect of molecular weight and polydispersity index (PDI) on PEK-C, an incremental poor solvent fractionation method was used to fractionate PEK-C. The process produced a series of grades with decreasing molecular weight and PDI. The LCP (linear cloud point) equation was combined with the grading method to find the optimal PEK-C/DMAc/ Non-solvent additives (NSA) system, which can be used to improve the grading efficiency. The obtained results showed that the incremental poor solvent fractionation method with the PEK-C/DMAc/EA system made the molecular weight distributed in the range of 25 ~ 113 kDa, PDI mostly distributed in the range of 1.1 ~ 1.4, and the narrowest PDI to reach 1.13, which could not be obtained through the condensation reaction. Meanwhile, we can also achieve expanded production. By fractionation, the elastic modulus of PEK-C film could be increased by up to 22.6%, elongation at break by up to 38.3%, the fracture strength by up to 38.2%, and impact strength of the sheest by up to 41.2%, while the polymer still maintained good thermal and UV shielding properties. This unique Polymer/Solution/NSA system can yield an effective design strategy for controlling its molecular weight and PDI and improving its mechanical performance.
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Robustness Analysis of a Flexible Cable-Strut Tensile Structure
Lian-meng Chen,Wei-feng Gao,Zhichao Jiang,Yi-yi Zhou,Fu-bo Zhang,Shi-lin Dong 한국강구조학회 2020 International Journal of Steel Structures Vol.20 No.5
Currently, the robustness analysis of structure is primarily related to rigid structures, and little has been done to study the robustness of spatial fl exible cable-strut tensile structures with larger span, more complex forms, lower redundancy, more sensitivity to unexpected interference such as construction deviations, etc. Based on the H ∞ theory, this paper starts with the fundamental theory and develops analysis method for the robustness of fl exible cable-strut tensile structures, and then the relationships between the structural robustness and some design parameters such as initial pre-stress level, load distribution form, structural span, cross-section area, rise-span ratio, etc. are analysed through a case study of a concrete cable-strut tensile structure in China. On this basis, the eff ects of construction errors such as element-length error and supporting node position error are further analysed. Finally, the importance of each kind of element is analysed by means of conceptual removal of element. The results show that the higher the initial pre-stress level, the larger the element cross-section, the smaller the structural span, the larger the rise-span ratio and the more uniform the load distribution, the stronger the structural robustness. In the limited construction error range, the element-length error and the supporting node position error have little eff ects on the robustness of the structure. The hoop cables are the more important elements and the elements in inner region of the structure are of comparatively lower importance in the cable dome structure in this study.
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