System Identification and Nonlinear Wave Equations for the Modeling of Soil Properties

用于土壤特性建模的系统辨识和非线性波动方程

• 批准号: 9721424
• 负责人: Erik Van Vleck
• 金额: $ 4.08万
• 依托单位: Colorado School of Mines
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-08-01 至 2001-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9721424&HistoricalAwards=false
• 关键词: System; Identification; Nonlinear; Wave; Equations

Of importance to geotechnical and structural engineers, and fornondestructive evaluation in general, is the ability to estimatesoil properties and structural properties, respectively, withoutintruding into the medium. This project involves using timeseries analysis on data that has traveled through the earth orthrough a structure to determine physical properties of themedium. System identification techniques will be used to modelthe system. The main research effort will be the mapping from thesystem identification coefficients to the physical parameters ofa more realistic physical model than has been previouslyemployed. A model that takes into account distributed mass on adiscrete level (not just lumped mass) and damping due to friction(not just viscous damping) will be employed. Plane wave solutionswill be considered to determine the mapping from the SIcoefficients to the physical parameters. There are interestingmathematical questions in determining the existence of plane wavesolutions, the numerical computation of such plane wavesolutions, the effects of lattice induced anisotropy due to thediscrete nature of the distributed mass, and alternatives to theARMA model for system identification. The PI will work at theDepartment of Civil and Environmental Engineering at theUniversity of California, Berkeley, collaborating with ProfessorSteven D. Glaser.This IGMS project is jointly supported by the MPS Office ofMultidisciplinary Activities (OMA) and the Division ofMathematical Sciences (DMS).

对岩土工程师和结构工程师以及一般的无损评价来说，重要的是在不侵入介质的情况下分别估计土壤性质和结构性质的能力。 这个项目涉及到使用时间序列分析的数据已经通过地球或通过结构，以确定介质的物理特性。 系统识别技术将被用来模拟系统。本文的主要研究工作将是从系统识别系数到系统物理参数的映射 比以前使用的物理模型更真实。将采用一个考虑离散水平上的分布质量（不仅仅是集中质量）和摩擦阻尼（不仅仅是粘性阻尼）的模型。平面波解将 确定从SI系数到物理参数的映射。 在确定平面波解的存在性， 等 平面 wavesolutions，由于离散性质的分布质量的晶格诱导各向异性的影响，和替代theARMA模型的系统识别。 PI将在土木与环境工程系工作PI将在土木与环境工程系工作 在 美国加州大学伯克利分校与史蒂芬·D.该IGMS项目由MPS多学科活动办公室（OMA）和数学科学部（DMS）共同支持。