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Analytical Calculation and Simulation of Steady Lateral Stiffness for Variable Diameter Spring
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Xiangming Geng1, Changcheng Zhou1, Shichao Kan1, Yunshan Zhang2, Wei Zheng1
Automobile Technology | 2023, (4) : 57 - 62
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Automobile Technology | 2023, (4): 57-62
Analytical Calculation and Simulation of Steady Lateral Stiffness for Variable Diameter Spring
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Xiangming Geng1, Changcheng Zhou1, Shichao Kan1, Yunshan Zhang2, Wei Zheng1
Affiliations
  • 1 Shandong University of Technology, Zibo 255000
  • 2 Zibo Company Limited, Shandong Automobile Spring Factory, Zibo 255000
Published: 2023-04-24 doi: 10.19620/j.cnki.1000-3703.20220282
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In order to obtain reliable analytical calculation methods for the steady-state lateral stiffness considering the end constraints of variable diameter springs, the analytical calculation formulas of spring end restraint moment were obtained by using Moore integral according to the mechanical model of variable diameter spring. Based on the restraint moment of variable diameter spring, the analytical calculation formulas of steady-state lateral flexibility and stiffness of variable diameter spring were derived. With a case study, the steady-state lateral stiffness of variable diameter spring was analyzed and simulated, the calculated values are consistent with the simulated values, the relative deviations of flexibility and stiffness are within 0.21%, which means that the analytical formulas are correct. Finally, based on the steady-state lateral stiffness of variable diameter spring, the analytical calculation formula of transverse deflection of variable diameter spring at any position under transverse load was established, the deviation between the calculated value and the simulation value is within 0.21%, indicating that the analytical formula of the relative lateral deflection of the spring is correct.

Variable diameter spring  /  Moore integral  /  Lateral stiffness  /  Shape change
Xiangming Geng, Changcheng Zhou, Shichao Kan, Yunshan Zhang, Wei Zheng. Analytical Calculation and Simulation of Steady Lateral Stiffness for Variable Diameter Spring[J]. Automobile Technology, 2023 , (4) : 57 -62 . DOI: 10.19620/j.cnki.1000-3703.20220282
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doi: 10.19620/j.cnki.1000-3703.20220282
  • Online Date：2025-12-07
  • Published：2023-04-24
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  • Revised：2022-05-31
Affiliations
    1 Shandong University of Technology, Zibo 255000
    2 Zibo Company Limited, Shandong Automobile Spring Factory, Zibo 255000
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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