Applications of Stochastic Methods in Seismic Engineering   Systems
{'Code': '07030000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'CMMI', 'LongName': 'Div Of Civil, Mechanical, & Manufact Inn'}}
{'SignBlockName': 'Shih-Chi Liu', 'PO_EMAI': None, 'PO_PHON': None}
In this research, the variability analysis methods are developed to             evaluate the effects of variation in the soil constitutive properties           on theseismic ground motions and hence on the response of                       soil-(embedded) structure systems.  The covariance matrices for the             stresses, strains, and displacements in the soil and structure regions          are analyzed in detail according to first- and second-order                     approximations.  These results are verified against Monte Carlo                 simulations using a super computer.  The algebraic complexities of the          formulate depicting the higher-order statistical approximations will be         handled by symbolic manipulation languages germain to artificial                intelligence procedures.  Automated sequential refinements of the final         results of the statistical correlations are explored.  Further, a set           of nonlinear constitutive equations for the soil which are amenable             both to finite element analysis and stochastic equivalent linearization         are developed.
[{'FirstName': 'Gautam', 'LastName': 'Dasgupta', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Gautam Dasgupta', 'EmailAddress': 'dasgupta@columbia.edu', 'NSF_ID': '000459106', 'StartDate': '04/01/1986', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Masanobu', 'LastName': 'Shinozuka', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Masanobu Shinozuka', 'EmailAddress': 'shinozuka@columbia.edu', 'NSF_ID': '000182818', 'StartDate': '04/01/1986', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'Columbia University', 'CityName': 'NEW YORK', 'ZipCode': '100277922', 'PhoneNumber': '2128546851', 'StreetAddress': '615 W 131ST ST', 'StreetAddress2': 'MC 8741', 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'NY13', 'ORG_UEI_NUM': 'F4N1QNPB95M4', 'ORG_LGL_BUS_NAME': 'THE TRUSTEES OF COLUMBIA UNIVERSITY IN THE CITY OF NEW YORK', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1498', 'Text': 'STRUCTURES II'}
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