利用试验模态参数建立轮胎非稳态侧偏模型

在对轮胎垂直特性和稳态侧偏特性建模的基础上，利用由轮胎模态试验提取的试验模态参数建立了轮胎非稳态侧偏模型，该模型考虑了印迹的动态变形和胎宽的影响，对印迹进行离散化并初步计入了速度对非稳态性的影响，推导出侧向力和回正力矩关于侧向位移和摆动角的传递函数的解析公式，可以计算不同载荷下的非稳态特性，计算结果与文献中的试验结果相符，建模和计算结果说明利用试验模态参数可以方便地建立轮胎的非稳态特性，计算结果与     

基于环模型的轮胎有限元建模与仿真研究

为了提高仿真模型的计算效率,基于环模型理论系统研究了轮胎二维有限元模型的建模技术、参数确定方法和轮胎包容特性分析技术.从试验与仿真结果对比分析可知,利用有限元方法基于轮胎REF模型建模,在对轮胎胎侧弹性进行非线性模型修正后,得到的轮胎低速滚动仿真结果与试验结果基本吻合,验证了轮胎模型的有效性,同时为车辆一地面系统虚拟试验提供了一种实时高精度的轮胎面内特性仿真建模方法.     

利用模态参数对轮胎纯侧偏特性建模

在轮胎静生趣特怀建模的基础上，探讨了利用轮胎模态参数对轮胎纯侧偏特性的建模。通过侧向激振试验提取了轮胎的侧向模态参数并计算了轮胎在不同载荷下的偏离特性，计算结果与以往轮胎的试验结果具有很好的一致性。计算结果转化为无量纲形式并与经验模型进行了比较，建模和计算结果充分说明了模型的合理并显示了建模方法的优越性。     

轮胎胎面特性对侧偏模型预测精度影响分析

胎面花纹是影响轮胎性能的重要因素。文中以模态参数模型的稳态侧偏模型为基础，从理论推导和实际计算两方面说明胎而花纹刚度的重要性，其对侧偏模型计算结果的影响要大大高于对垂直模型的影响。因此，在确定轮胎解析模型中胎面花纹参数时应首先考虑其对侧偏模型的影响。     

利用试验模态参数对轮胎垂直特性建模

本文用试验模态参数建立轮胎模型。通过对轮胎的和径向和切向激振试验获取模态参数，将地面对轮胎的作用当作输入。采用迭代算法计算了静态垂直特性，即垂直刚度、印迹长度及摩擦力在纵向的分布。然后计算了考虑轮胎预载的３００Ｈｚ内的垂直振动特性。采用模态综合方向将车轮、悬架及车身组合成的一个系统，计算出了该系统的垂直振动特性。研究显示了这种方法的可靠性和优越性。     

轮胎自由与约束悬置的模态试验与综合分析

为了证实约束对轮胎模态参数带来的影响，探讨如何从自由悬置的轮胎模态参数转化为固定悬置的参数，分别对自由悬置与固定悬置的轮胎进行激振试验，提取模态参数，并用模态综合法完成自由悬置结果到固定悬置结果的转化。模态综合计算的结果与试验相符，证明了利用自由悬置模态参数建模，利用模态综合的方法考虑约束系统动特性对轮胎特性的影响是合理的。     

轮胎非稳态侧偏特性的建模

分析了轮胎侧偏特性的建模机理，从胎面的印迹侧向变形和胎体的侧向平移变形出发，计算出运动状态下轮胎印迹瞬时变形的数学表达式，建立了考虑胎面弹性的轮胎非稳态侧偏特性模型。最后，将该理论模型与试验结果进行了对比。     

动态载荷下轮胎侧偏特性的理论及试验研究

提出了在动载和时变印迹长度下轮胎的接触历程概念,导出了计算动载时轮胎接地印迹内各点接触历程的入迹方程,阐明轮胎动载侧偏力学特性建模机理,克服了动载侧偏特性理论建模的一个基本障碍,建立了考虑胎体平移弹性小幅动载时的理论模型,并提出了轮胎动载侧偏特性的半经验模型,进行了相应的试验研究,给出了试验结果与模型计算结果的比较。     

汽车轮胎侧偏特性影响因素的试验研究

应用轮胎静力学特性试验机，研究了低速条件下3种不同胎面花纹轮胎在干燥路面上的侧偏特性，主要分析了胎面花纹、轮胎负荷和轮胎气压等因素对轮胎侧偏特性的影响。结果表明：轮胎的Fy-α关系曲线形状与胎面花纹形式、轮胎负荷和胎压等均无关。而Mz-α关系曲线变化趋势与胎面花纹无关，却与轮胎负荷和气压有关；在相同试验条件下，顺向花纹轮胎具有更优异的附着性能和侧偏特性。     

商用车预热状态对稳态回转试验的影响

文章分析了稳态回转试验中车辆的预热状态对试验结果一致性的影响,总结出在不同预热条件下,胎压、胎温对轮胎侧偏刚度的影响,更进一步地证实了轮胎胎压和胎温稳定性对车辆稳态回转试验结果的影响,完善如稳态回转类试验的测试方法,为改善该试验结果一致性提供参考。     

Establishment of Model for Tire Steady State Cornering Properties using Experimental Modal Parameters

Modeling of tire cornering properties using experimental modal parameters is studied. With tire lateral experimental modal parameters, the distribution of side force and lateral deformation under total adhesive and sliding conditions are obtained. Side force, self-aligning, cornering stiffness and relaxation length under different loads and friction coefficients are also calculated. The calculated results are in correspondence to experimental results in the references qualitatively. The non-dimensional side force obtained from the calculated results is compared with the Fiala model, its modified expression by experiments and also the widely used empirical Magic Formula model. The calculated results tally well with the fitted results obtained using Magic Formula model. It can be seen that the tire steady state cornering model using experimental modal parameters proposed in this paper is better for an in-depth study of tire natural characteristics, and the labored experimental work can be avoided.     

Establishment of Model for Tire Steady State Cornering Properties using Experimental Modal Parameters

Modeling of tire cornering properties using experimental modal parameters is studied. With tire lateral experimental modal parameters, the distribution of side force and lateral deformation under total adhesive and sliding conditions are obtained. Side force, self-aligning, cornering stiffness and relaxation length under different loads and friction coefficients are also calculated. The calculated results are in correspondence to experimental results in the references qualitatively. The non-dimensional side force obtained from the calculated results is compared with the Fiala model, its modified expression by experiments and also the widely used empirical Magic Formula model. The calculated results tally well with the fitted results obtained using Magic Formula model. It can be seen that the tire steady state cornering model using experimental modal parameters proposed in this paper is better for an in-depth study of tire natural characteristics, and the labored experimental work can be avoided.     

轮胎模态试验分析的研究

为寻求对轮胎高阶模态参数的提取,对一子午线轮胎分别进行了单、双点激振模态试验分析的研究,并用LMS Cada—X中的FDPI方法及LMS Test．Lab中的PolyMAX方法进行了分析比较。结果表明,FDPI方法只能识别出低频范围的模态参数,而PolyMAX方法对高频段难以识别出的模态参数也可给出较好的结果。对轮胎这种具有很好的对称性的结构,双点激振可给出很好的重根模态。     

Tire Modeling for Vertical Properties Including Enveloping Properties Using Experimental Modal Parameters

Summary Tire modal parameters reflect the natural properties of the tire. This paper models tire performance using experimental tire modal parameters to calculate the static vertical tire stiffness on both drum and flat road surfaces and the distribution of vertical and shear forces. The model was used to investigate tire enveloping properties. In addition to the radial and tangential displacements, the rotational angular displacement of the contact element is considered. This study examined the obstacle's effect on tire static vertical properties, the axle load responses under rectangle obstacles with a fixed axle height, and the effects of tire pressure on enveloping properties.     

Tire Modeling for Vertical Properties Including Enveloping Properties Using Experimental Modal Parameters

Summary Tire modal parameters reflect the natural properties of the tire. This paper models tire performance using experimental tire modal parameters to calculate the static vertical tire stiffness on both drum and flat road surfaces and the distribution of vertical and shear forces. The model was used to investigate tire enveloping properties. In addition to the radial and tangential displacements, the rotational angular displacement of the contact element is considered. This study examined the obstacle’s effect on tire static vertical properties, the axle load responses under rectangle obstacles with a fixed axle height, and the effects of tire pressure on enveloping properties.     

Prediction of tire natural frequency with consideration of the enveloping property

A lumped tire model was developed with consideration of the enveloping property in order to predict the natural tire frequency. Tire stiffness was classified into vertical, sidewall, and enveloping stiffnesses, and the tire characteristics were analyzed in detail experimentally and via finite element analysis. In addition, the effective masses of the tire tread and belt were extracted directly from design specifications taking into account the sizes and material properties of different rubber blocks. Using the design parameters of the tires, natural frequencies were calculated from the derived model and were compared with experimental results. Finally, based on good agreement with experimental results, sensitivity analysis was performed to verify the effect of tire stiffnesses on the natural frequencies.     

利用模态分析技术获取轮胎的模态参数

由模态试验获取轮胎自由悬置的模态参数，应用模态分析技术进行轮胎力学研究，用模态综合法实现轮胎自由悬置到固定支承的转化，从而从理论上给出轮胎固定支承时的模态参数。计算结果与试验结果基本吻合。