Kyung K. Choi，Nam H. Kim， Structural Sensitivity Analysis and Optimization 1 Linear Systems， 2005 Springer Science+Business Media, Inc. Contents 1: Linear Systems Preface ..................................................................................................................... vii PART I Structural Design and Analysis 1 Introduction to Structural Design .................................................................. 3 1.1 Elements of Structural Design ................................................................................ 3 1.2 Structural Modeling and Design Parameterization ................................................. 9 1.2.1 Structural Modeling............................................................................................ 9 1.2.2 Design Parameterization .................................................................................... 9 1.2.3 Three-Bar Truss Example .................................................................................. 13 1.3 Structural Analysis .................................................................................................. 15 1.4 Finite Element Analysis .......................................................................................... 16 1.5 Structural Design Sensitivity Analysis.................................................................... 20 1.5.1 Methods of Structural Design Sensitivity Analysis ........................................... 21 1.5.2 Finite Difference Method ................................................................................... 22 1.5.3 Discrete Method................................................................................................. 24 1.5.4 Continuum Method ............................................................................................ 27 1.5.5 Summary of Design Sensitivity Analysis Approaches....................................... 29 1.6 Second-Order Design Sensitivity Analysis ......................