{"title":"Probabilistic analysis of cylindrical shells under continuously varying load combinations","authors":"Niklas Reuter, Benedikt Kriegesmann","doi":"10.1016/j.tws.2025.113319","DOIUrl":null,"url":null,"abstract":"<div><div>This paper presents a probabilistic design method for cylindrical shells under combined loading without explicitly simulating each load combination. Exemplarily, the combination of axial compression and torsion is considered. The probabilistically motivated design load is a quantile of the buckling load distribution. The stochastic distribution of the buckling load (and hence any quantile) differs for each combination of axial load and torsion. The basic idea of the presented method is to consider the buckling response as a random field, where the parameter describing the load ratio is the field variable. When this random field is characterized, the stochastic distribution may be determined for any load combination without explicitly running a probabilistic analysis for this load combination. This approach is compared to a more simple and straightforward approach of interpolating stochastic moments or quantiles between different load combinations.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113319"},"PeriodicalIF":5.7000,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823125004124","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a probabilistic design method for cylindrical shells under combined loading without explicitly simulating each load combination. Exemplarily, the combination of axial compression and torsion is considered. The probabilistically motivated design load is a quantile of the buckling load distribution. The stochastic distribution of the buckling load (and hence any quantile) differs for each combination of axial load and torsion. The basic idea of the presented method is to consider the buckling response as a random field, where the parameter describing the load ratio is the field variable. When this random field is characterized, the stochastic distribution may be determined for any load combination without explicitly running a probabilistic analysis for this load combination. This approach is compared to a more simple and straightforward approach of interpolating stochastic moments or quantiles between different load combinations.
期刊介绍:
Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses.
Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering.
The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.