路面热弹耦合效应的预测与评价研究

发布时间：2019-05-18 10:05

【摘要】：在路面工况中，多物理场耦合现象随处可见，且耦合类型繁多，可分为强耦合和弱耦合两种类型。场与场之间是何种耦合取决于实际的需要和现时的研究水平。热弹耦合是一种典型的耦合现象，一般工况下路面结构的应力场与温度场之间存在耦合关系，温度场对应力场的作用是强耦合，应力场对温度场的作用是弱耦合，且这种弱耦合可以忽略，二者属于单向耦合；而特殊工况（热冲击）下路面结构的应力场对温度场的弱耦合作用是不可忽略的，二者属于双向耦合。因此，针对弱耦合作用，系统地进行热弹耦合效应的预测、量化和评价是很有必要的。本文针对热弹耦合预测、量化与评价问题，以热弹耦合效应为研究对象，从理论推导和数值模拟两个方面出发，，以热弹性理论为基石，结合数值分析技术、数理统计技术及Matlab编程等方法，构建热弹耦合计算模型，通过Matlab编程实现其可视化，实现真正热弹耦合效应的量化。从理论推导着手，以时间尺度为分类依据，结合具体实例分析，提出热弹耦合效应（时刻耦合效应及时段耦合效应）的预测和评价方法，即以修正耦合系数和冲量耦合系数，作为事前预测指标，以相对差值百分比和相对冲量差值百分比，作为事后评价指标，并给出了典型工况下相关指标（冲量耦合系数及相对冲量差值百分比）的预测模型及规律性分析。此外，为了更好的预测冲量耦合系数，借鉴费尔哈斯对Malthusian模型修正的思想，并引入粒子群优化算法，提出了修正费尔哈斯模型，结合实例证明了该模型预测精度得到了提高。针对路面工况，本文提出了热弹耦合效应计算模型、预测指标、评价指标及典型工况耦合效应预测模型，首次系统地对热弹耦合效应进行了研究，为路面工程多物理场耦合的深入研究提供了参考。
[Abstract]:In the pavement condition, the coupling phenomenon of multi-physical field can be seen everywhere, and there are many coupling types, which can be divided into two types: strong coupling and weak coupling. What kind of coupling between the field and the field depends on the actual needs and the current level of research. Thermoelastic coupling is a typical coupling phenomenon. There is a coupling relationship between the stress field and the temperature field of the pavement structure under general working conditions. The effect of the temperature field on the stress field is strong coupling, and the effect of the stress field on the temperature field is weak coupling. The weak coupling can be ignored, and the two belong to unidirectional coupling. However, the weak coupling effect of the stress field of the pavement structure on the temperature field under special working conditions (thermal shock) can not be ignored, and the two belong to bidirectional coupling. Therefore, it is necessary to systematically predict, quantify and evaluate the thermoelastic coupling effect for weak coupling. In this paper, aiming at the problems of thermoelastic coupling prediction, quantification and evaluation, taking the thermoelastic coupling effect as the research object, starting from two aspects of theoretical derivation and numerical simulation, taking thermoelastic theory as the cornerstone, combined with numerical analysis technology, By means of mathematical statistics technology and Matlab programming, the thermoelastic coupling calculation model is constructed, and its visualization is realized by Matlab programming, and the real thermoelastic coupling effect is quantified. Starting from the theoretical derivation, based on the classification of time scale and the analysis of concrete examples, the prediction and evaluation method of thermoelastic coupling effect (time coupling effect and time coupling effect) is put forward, that is, the modified coupling coefficient and impulse coupling coefficient are used to predict and evaluate the thermoelastic coupling effect. As an indicator of prior prediction, the percentage of relative difference and the percentage of relative impulse difference are used as the index of ex post facto evaluation. The prediction model and regularity analysis of the related indexes (impulse coupling coefficient and relative impulse difference percentage) under typical working conditions are given. In addition, in order to better predict impulse coupling coefficient, referring to Fairhaus' idea of modifying Malthusian model, and introducing particle swarm optimization algorithm, a modified Fairhaus model is proposed, and an example is given to prove that the prediction accuracy of the model is improved. In this paper, the calculation model, prediction index, evaluation index and typical working condition coupling effect prediction model of thermoelastic coupling effect are put forward, and the thermoelastic coupling effect is studied systematically for the first time. It provides a reference for the further study of multi-physical field coupling in pavement engineering.
【学位授予单位】：长安大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U416.2

【参考文献】