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Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
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Weiping MA, He ZHAO, Yuzhou SONG, Tenglong LI
Journal of Mechanical Strength | 2025, 47(8) : 123 - 130
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Journal of Mechanical Strength | 2025, 47(8): 123-130
Experimental Research·Testing Technology
Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration
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Weiping MA, He ZHAO, Yuzhou SONG, Tenglong LI
Affiliations
  • China Academy of Machinery Zhengzhou Research Institute of Mechanical Engineering Co, Ltd, Zhengzhou 450052, China
Published: 2025-08-15 doi: 10.16579/j.issn.1001.9669.2025.08.015
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To address the issue of accuracy degradation caused by aerodynamic damping when measuring the moment of inertia of irregular specimens with large airfoil surfaces using the torsional pendulum method, a compensation approach based on drag simulation results was proposed. Initially, the mechanism of aerodynamic damping in torsional oscillations was analyzed, and a measurement model incorporating compensation through calculation of aerodynamic damping torque was established. Subsequently, the reduced frequency parameter was introduced to characterize the unsteady aerodynamic nature of the aerodynamic damping torque. By employing a quasi-steady assumption combined with equivalent linearization techniques,the unsteady time-varying aerodynamic damping torque was equivalently represented as viscous damping. Furthermore,computational fluid dynamics (CFD) simulations were conducted to obtain drag coefficients during specimen motion, from which a compensation formula based on drag coefficients was derived. Finally, validation test were designed and performed to verify the proposed method. The findings indicate that under low reduced frequency conditions (reduced frequency less than 0.01), the relative error between the equivalent aerodynamic damping ratio calculated via quasi-steady assumption and test separation values is approximately 7%. After compensating using the proposed equivalent aerodynamic damping ratio, the error between measured and theoretical moments of inertia is approximately 0.2%, demonstrating that the proposed method effectively enhances measurement accuracy for moments of inertia of irregular specimens with large airfoil surfaces.

Moment of inertia measruement  /  Aerodynamic damping  /  Irregular specimen  /  Unsteady aerodynamic force  /  Drag coefficient
Weiping MA, He ZHAO, Yuzhou SONG, Tenglong LI. Measurement and analysis of moment of inertia using torsional pendulum method with air damping consideration[J]. Journal of Mechanical Strength, 2025 , 47 (8) : 123 -130 . DOI: 10.16579/j.issn.1001.9669.2025.08.015
Year 2025 volume 47 Issue 8
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doi: 10.16579/j.issn.1001.9669.2025.08.015
  • Receive Date:2025-05-06
  • Online Date:2026-03-19
  • Published:2025-08-15
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  • Received:2025-05-06
Affiliations
    China Academy of Machinery Zhengzhou Research Institute of Mechanical Engineering Co, Ltd, Zhengzhou 450052, China

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MA Weiping, E-mail:
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

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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