Abstract
The reliability of loess cave dwellings based on fuzzy failure criterion is researched to analyze the influence of fuzzy set, membership function, and different combinations of random variables. Due to the strength reduction method, the basic failure criterion is established, the fuzzy property of failure criterion is characterized by fuzzy set and membership function, and the performance function of loess cave dwellings is expressed by a quadratic polynomial without cross terms. Reliability is analyzed with different random variable combinations. The reliability research of loess cave dwellings in Shan Plateau, Henan province, China, shows that the loess property in this area is suitable for loess cave dwelling construction and the reliability index of loess cave dwellings is high, which will be decreased when considering the fuzzy failure criterion and will be increasing sharply when the small cave leg width is improved to average value.
Highlights
Loess cave dwellings are “green houses”. e main kinds of loess cave dwellings are cliff caves and ground caves
Strength-reduced method and response surface method are used to solve the reliability of loess cave dwellings in Shan Plateau in Henan Province, China, which is based on fuzzy failure criterion. e process of strengthreduced method is in Part 2, which is reducing the strength of soil, until the failure state is reached
E reliability index based on fuzzy failure criterion is smaller than the basic failure criterion, and the decreasing degree is related to the fuzzy set [0, a] and the form of membership function, which will be discussed in this paper
Summary
Loess cave dwellings are “green houses”. e main kinds of loess cave dwellings are cliff caves and ground caves. Reliability analysis of loess cave dwellings based on fuzzy failure criterion is more reasonable. Ese research studies are not concerned with the fuzzy failure criterion For probabilistic analysis, another basic problem is the choice of random variables. The geometric size of loess cave dwellings that have great influence on reliability cannot be neglected Another problem is the performance function of system. E performance function of loess cave dwellings is unknown, to solve the failure probability, Monte Carlo simulation (MCS) [5], and response surface method (RSM) can be used [6]. Strength-reduced method and response surface method are used to solve the reliability of loess cave dwellings in Shan Plateau in Henan Province, China, which is based on fuzzy failure criterion. Strength-reduced method and response surface method are used to solve the reliability of loess cave dwellings in Shan Plateau in Henan Province, China, which is based on fuzzy failure criterion. e process of strengthreduced method is in Part 2, which is reducing the strength of soil, until the failure state is reached
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