Development of the Flexible Ring on an Elastic Continuous Foundation Tire Model for Planar Vibration of the Heavy Load Radial Tire

Liu, Zhihao; Gao, Qing; Niu, Hailong

doi:10.3390/app8112064

Cited by 2 publications

(2 citation statements)

References 24 publications

(34 reference statements)

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“…Liu et al [14] established a theoretical 3D circular tire model to describe tread vibration and steady-state response and analyzed the impact of material and structural factors on the natural frequency. Liu et al [15] proposed a tire model with a flexible ring structure utilizing an elastic continuous base and predicted the modal of the tire under different inflation pressures. Li et al [16] started with the grounding properties of tires, combined with experiments, and used the energy method to determine the formula for calculating the lateral stiffness of the tread unit.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Vibration Characteristics and Influencing Factors of Complex Tread Pattern Tires Based on Finite Element Method

Xu,

Ge,

et al. 2024

Machines

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The vibration of the tires significantly impacts a vehicle’s ride comfort and noise level; however, the current analysis of tire vibration characteristics often involves excessive simplification in their models, leading to a reduction in model accuracy. To analyze the tire vibrational properties and the influence of its design and service conditions, a combined modeling technology was developed to construct a three-dimensional (3D) finite element model of a 205/55R16 specification radial tire with intricate tread patterns. The accuracy and reliability of the simulation model was verified through vibration modal tests. Based on the vibration mode theory, the Lanczos method provided by ABAQUS was adopted to analyze the modal characteristics of the tire under free inflation and grounded conditions, and the effects of different inflation pressures, loads, operating conditions, and belt cord angles on the tire vibration characteristics were analyzed. The results indicate that grounding constraints will suppress the low order radial modal frequency of the tire and enhance the lateral modal frequency. The higher the order of the tire vibration mode, the greater the impact of inflation pressure. As the operating conditions change, the modal frequencies of all directions have the same trend of change, and as the ground load increases, the tire is prone to misalignment at lower lateral frequencies. The radial and lateral grounding modes of the tire are slightly affected by the change of the cord angle in the belt layer, but the circumferential grounding frequency decreases as the belt layer angle increases. These research findings offer a crucial foundation for the structural design of complex tread pattern tires, and also serve as a reference for addressing vibration and comfort issues encountered in the tire matching process.

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Section: Introductionmentioning

confidence: 99%

Analysis of Vibration Characteristics and Influencing Factors of Complex Tread Pattern Tires Based on Finite Element Method

Xu,

Ge,

et al. 2024

Machines

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“…e shearing action of the carcass is added to enrich the Timoshenko beam tire model [18], which is of vital importance for high-frequency vibration above 1 KHz. e tensile string tire model, Euler beam tire model, and Timoshenko beam tire model all belong to a two-dimensional class of ring tire models [19].…”

Section: Introductionmentioning

confidence: 99%

The Planar Wide-Frequency Vibration Characteristics of Heavy-Load Radial Tires

Cheng

Gao

Liu

et al. 2021

Mathematical Problems in Engineering

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This paper investigates the planar wide-frequency vibration characteristics of heavy-load radial tires with a large aspect ratio. A proposed tire model with a piecewise flexible beam on an elastic foundation is investigated and validated using experimental modal analysis and theoretical modeling method. The reproducibility of frequency response functions below 400 Hz is discussed. The experimental modal analysis particularly assesses the coupling of features across the circumferential and cross-sectional directions of heavy-load radial tire carcass. Piecewise circumferential modal characteristics were investigated experimentally, leading to the suggestion of a piecewise flexible beam on an elastic tire foundation. Using a genetic algorithm (GA), the structural parameters EI, ρ A , and kr and damping coefficients η and cr for the proposed tire model are identified, and the piecewise transfer functions and the planar transfer functions for a heavy-load radial tire are compared with planar hammer test. Experimental and theoretical results show the following: (1) the sectional vibration characteristics for a heavy-load radial tire with a large aspect ratio result from the cross-sectional vibration of the tire carcass; (2) the piecewise transfer function is mainly influenced by the circumferential vibration of the flexible carcass, and this is consistent with a model where a flexible beam is placed on an elastic tire foundation; (3) the analytical transfer functions calculated for the proposed tire model, drawing on the identified structural parameters and damping coefficients, agree well with the experimental results.

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Development of the Flexible Ring on an Elastic Continuous Foundation Tire Model for Planar Vibration of the Heavy Load Radial Tire

Cited by 2 publications

References 24 publications

Analysis of Vibration Characteristics and Influencing Factors of Complex Tread Pattern Tires Based on Finite Element Method

Analysis of Vibration Characteristics and Influencing Factors of Complex Tread Pattern Tires Based on Finite Element Method

The Planar Wide-Frequency Vibration Characteristics of Heavy-Load Radial Tires

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