Design-Oriented Analysis of Structures: A Unified Approach

List of Figures

Chapter 1: Introduction

Figure 1.1: Types of topological changes.
Figure 1.2: Ten-bar truss.
Figure 1.3: Stable structures obtained by deletion of two members.
Figure 1.4: Conditionally unstable structures obtained by deletion of two members.
Figure 1.5: Unstable structures obtained by deletion of two members.
Figure 1.6: Stable structures obtained by deletion of three or four members.
Figure 1.7: Conditionally unstable structures obtained by deletion of three/four members.

Chapter 2: Structural Analysis

Figure 2.1: Four-bar truss.
Figure 2.2: a. Continuous beam example. b. Loads on the restrained structure. c. Unit displacements on the restrained structure.
Figure 2.3: Displacement parameters of a simple two-dimensional triangular element: a. Plane stress. b. Bending element.
Figure 2.4: a. Plate dimensions and loading. b. Finite-element idealization. c. Nodal displacements. d. Element stresses.

Chapter 4: Direct Methods

Figure 4.1: Ten-bar truss.

Chapter 5: Local Approximations

Figure 5.1: First-order approximations of constraints.
Figure 5.2: Scaling of the initial stiffness matrix.
Figure 5.3: Geometrical basis for selecting the ? multiplier.
Figure 5.4: Ten-bar truss.

Chapter 6: Global Approximations

Figure 6.1: Three-bar truss.
Figure 6.2: Results, various approximations.
Figure 6.3: Ten-bar truss.

Chapter 7: Combined Approximations (CA)

Figure 7.1: Ten-bar truss.
Figure 7.2: Various modified designs shown in the space of X* and ? X*.
Figure 7.4: Norm of the uncoupled normalized basis vectors V i for ? = 1.0.
Figure 7.5: Values of z i coefficients for ? = 1.0.
Figure 7.6: Norm...

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