{"title":"响应谱叠加的统计扩展","authors":"Ali Amini, Mihailo D. Trifunac","doi":"10.1016/0261-7277(85)90001-4","DOIUrl":null,"url":null,"abstract":"<div><p>This paper, is an extension of our work on peak statistics of single degree of freedom system, and summarizes new results which provide for computation of expected and most probable values of the first largest, second largest, third largest etc. peaks of response of linear, viscously damped <span><math><mtext>n-</mtext><mtext>degree</mtext></math></span> of freedom system. Comparisons with exact numerical simulation on a typical structure show good accuracy for short impulsive, intermediate and for long strong earthquake ground shaking.</p></div>","PeriodicalId":100715,"journal":{"name":"International Journal of Soil Dynamics and Earthquake Engineering","volume":"4 2","pages":"Pages 54-63"},"PeriodicalIF":0.0000,"publicationDate":"1985-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0261-7277(85)90001-4","citationCount":"41","resultStr":"{\"title\":\"Statistical extension of response spectrum superposition\",\"authors\":\"Ali Amini, Mihailo D. Trifunac\",\"doi\":\"10.1016/0261-7277(85)90001-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper, is an extension of our work on peak statistics of single degree of freedom system, and summarizes new results which provide for computation of expected and most probable values of the first largest, second largest, third largest etc. peaks of response of linear, viscously damped <span><math><mtext>n-</mtext><mtext>degree</mtext></math></span> of freedom system. Comparisons with exact numerical simulation on a typical structure show good accuracy for short impulsive, intermediate and for long strong earthquake ground shaking.</p></div>\",\"PeriodicalId\":100715,\"journal\":{\"name\":\"International Journal of Soil Dynamics and Earthquake Engineering\",\"volume\":\"4 2\",\"pages\":\"Pages 54-63\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1985-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0261-7277(85)90001-4\",\"citationCount\":\"41\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Soil Dynamics and Earthquake Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0261727785900014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Soil Dynamics and Earthquake Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0261727785900014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Statistical extension of response spectrum superposition
This paper, is an extension of our work on peak statistics of single degree of freedom system, and summarizes new results which provide for computation of expected and most probable values of the first largest, second largest, third largest etc. peaks of response of linear, viscously damped of freedom system. Comparisons with exact numerical simulation on a typical structure show good accuracy for short impulsive, intermediate and for long strong earthquake ground shaking.