## Course Title : Design Mechanics for Building Structures

Code 10B037 Master Course 1st term Mon 1st C2-101 2 No Restriction Lecture Japanese I. Takewaki

### Course Description

Basic mechanics and inverse problem for design of building structures are explained. Structural optimization methods are also presented. Rational structural design approaches are introduced in place of conventional try-and-error approaches.

Grading is based on the examination at the end of semester.

### Course Goals

Obtain the knowledge on basic mechanics for design of building structures. Also obtain advanced knowledges on new theories and methodologies of structural optimization and inverse-problem formulations.

### Course Topics

Theme Class number of times Description
Concept of inverse problem 1 Examples of inverse problem in terms of shear building models
Hybrid inverse problem of structural systems 1 Examples of hybrid inverse problem in vibration and classification of hybrid inverse problems. The solution procedure of hybrid inverse mode problems is discussed.
Strain-controlled design method for moment-resisting frames 1 Simple examples are used for understanding fundamental concepts of strain-controlled design.
Inverse problem via design sensitivity analysis 1 An inverse problem formulation via design sensitivity analysis (direct method) is explained.
Earthquake-response constrained design 1 A method of earthquake-response constrained design for shear building models is explained. Design loads in terms of the design response spectrum are used in the design method.
Performance-based Design 1 A design methodology based on the concept of performance-based design is explained.
Exercise 1 1 Exercise on inverse problems.
Fundamentals of mathematical programming 2 Fundamentals of mathematical programming methods are explained. Linear and nonlinear programming methods are introduced and some examples are presented.
Design sensitivity analysis 1 Basic methods of sensitivity analysis for computing derivatives (sensitivity coefficients) of static responses and frequencies of free vibration with respect to variations of design parameters are explained.
Application to optimization of framed structures 1 Application of mathematical programming methods to optimization of framed structures is presented.
Optimal design for base isolation and structural control 2 Several methods for optimal design of structures using base isolation and structural control are explained.
Exercise 2 1 Exercise on structural optimization
Confirmation of the Learning Degree 1

### Textbook(supplemental)

Design Mechanics and Control Dynamics of Building, Architectural Institute of Japan, 1994.

### Prerequisite(s)

Mechanics of Building Structures, Basic Linear Algebra, Basic Calculus