Measurement method of turning point of thermomechanical analysis curve based on Pearson correlation coefficient
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A technique of Pearson correlation and thermomechanical analysis, which is applied in the field of evaluation of low temperature performance of asphalt mixture, and can solve problems such as difficulty in determining the turning point of asphalt
Active Publication Date: 2019-03-29
HARBIN INST OF TECH
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[0004] The purpose of the present invention is to solve the problem that the turning point of the thermomechanical analysis curve of the existing asphalt mixture is difficult to determine, and propose a method for ...
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specific Embodiment approach 1
[0016] Specific embodiment one: the method for measuring the turning point of the thermomechanical analysis curve based on the Pearson correlation coefficient in this embodiment is implemented according to the following steps:
[0017] 1. Measure the thermomechanical parameters that change with temperature, and establish a temperature array T [i] , i∈[1,N] and thermomechanical parameter array Y [i] ,i∈[1,N];
[0018] 2. The temperature array and thermomechanical parameter array obtained in step 1 are sorted in ascending order according to the size of the temperature measurement value, and the sorted data is recorded as the temperature-thermomechanical parameter data group {T j ,Y j}(j=1,2,…,N), where T j-1 j j+1 , and take the temperature T as the abscissa and the thermomechanical parameter Y as the ordinate to draw the temperature-thermomechanical parameter relationship curve;
[0019] Three, based on the temperature-thermomechanical parameter data set of step 2, calculat...
specific Embodiment approach 2
[0023] Embodiment 2: This embodiment differs from Embodiment 1 in that the thermomechanical parameters described in step 1 are stress value, loss shear modulus or temperature shrinkage strain.
specific Embodiment approach 3
[0024] Specific embodiment three: the difference between this embodiment and specific embodiment two is that when the thermomechanical parameter is the stress value, the low-temperature freeze-break experimental device is used to carry out the temperature stress test of the restrained specimen on the asphalt mixture test specimen, and the initial temperature is set and cooling rate, and then start the program to collect and record the temperature data and stress data during the test, and obtain the temperature array T [i] , i∈[1,N] and the stress array σ [i] ,i∈[1,N], when the specimen freezes, the test ends.
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Abstract
The invention provides a measurement method of a turning point of a thermomechanical analysis curve based on a Pearson correlation coefficient, andsolves the problem that the turning point of the thermomechanical analysis curve of the existing asphalt mixture is difficult to be determined. Measuring methods: 1. Measuring the thermomechanical parameters changing with temperature, establishing temperature array and thermomechanical parameter array; 2, establishing a temperature-thermomechanical parameter data set; 3, calculating that square of the Pearson correlation coefficient of the temperature data set and the thermomechanical parameter data set base on the temperature-thermomechanical parameter data set, obtaining the R2 data set, taking T as an abscissa coordinate and R2 as a ordinatecoordinate, and drawing a R2-T curve diagram; Fourthly, if R2 >= 0. 995 is taken as the defining condition of the turning point of the temperature stress curve, taking the corresponding temperature ofR2 as the measuring turning point temperature TT. The invention takes the Pearson correlation coefficient as the index, and accurately determines the turning point of the thermomechanical analysis curve of the asphalt mixture by analyzing and calculating the correlation coefficient between the thermomechanical analysis parameters and the temperature data points.
Description
technical field [0001] The invention belongs to the technical field of evaluation methods for the low-temperature performance of asphalt mixtures, and in particular relates to a method for measuring the turning point of a thermomechanical analysis curve. Background technique [0002] Asphalt mixture is a composite material composed of asphalt, aggregate and external admixture in a certain proportion. Due to the existence of viscoelastic material asphalt, the properties of asphalt mixture are viscoelastic characteristics, that is, properties and temperature Correlation, and at the characteristic temperature, the properties of asphalt mixture will change very obviously. These characteristic values are very critical for the study of the performance of asphalt mixture, especially in the study of low temperature cracking of asphalt pavement. The problem of low temperature shrinkage cracking of asphalt pavement is a problem that plagues experts at home and abroad. More than hal...
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