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Analysis and Design of Structures Considering Material Nonlinearity

Spring Semester (2-0-0)  (Every Year)

Prof. Kazuhiko KASAI

 

This course discusses nonlinear force-deformation characteristics of structural members/materials and their effects on performance of the structural systems.  Various static and dynamic analysis methods will be presented.  Homework assignments provide extensive hands-on experience of the analytical methods, and they are designed to cultivate students’ physical understanding of the nonlinear behavior.  Topics are as follows:

 

1.        Review of Linear Matrix Structural Analysis Methods.

- Linear material, truss element, local and global coordinates, transformations of force and deformation, direct stiffness method, treatment of various boundary conditions.

 

2.        Nonlinear Analysis Strategies for Truss Systems.

- Non-iterative method (event-to-event, step-by-step methods) iterative method (constant stiffness, Newton-Raphson, secant stiffness methods).

 

3.  Nonlinear Beam Elements

- Linear and nonlinear beam theories, moment-curvature relation, moment-rotation relation,  nonlinear beam element with plastic hinges. Local and global coordinates, transformations of force and deformation, direct stiffness method.

 

4.  Nonlinear Analysis Strategies for Frames with Beam Elements.

- Non-iterative method (event-to-event, step-by-step methods), iterative method (constant stiffness, Newton-Raphson, secant stiffness methods), mixed method.  Rigid-perfectly plastic idealization, limit analysis, lower and upper bound theorem and applications.

 

5.  Other Topics.

- Nonlinear dynamic analysis methods: linear acceleration method, Newmark method.  Material nonlinearity in two dimensions, yield criteria, hardening rule, two-dimensional elements and analysis strategies.  Harmonic and earthquake responses of nonlinear systems, nonlinear response spectra, equivalent linear systems, seismic design load.

 

 

Passive Control of Structures against Earthquakes

Autumn Semester (1-0-0)  (Every Year)

Prof. Kazuhiko KASAI

 

This course discusses various methods to evaluate effectiveness of the passive control dampers and building framing schemes.  Characteristics of four main types of dampers are explained.  Design and analytical methods for three types of framing systems having distinct architectural features, damper connecting schemes, as well as control efficiencies are explained.  Topics are as follows:
1.  Fundamental Theory on Passive Control.
2.  Mechanical Characteristics of Dampers
3.  Framing Systems and Their Control Efficiencies
4.  Analytical Methods for Passive Control Dampers and Systems
5.  Design Methods for Passive Control Dampers and Systems

 

 

Advanced Analysis and Design of Structures Considering Geometrical & Material Nonlinearities

Autumn Semester (2-0-0)  (Odd Years)

Associate Prof. Shojiro MOTOYUI

 

This course discusses analytical methods to simulate collapse behavior of building structures. Particularly, it presents treatment of both geometrical nonlinearity and complex material nonlinearity which are essential in these analytical methods.

 

1.  Tensor

  Basic concepts of ' Tensor ', base vector, metric tensor.

 

2.  Formulation of Geometrical Nonlinearity

  Assumption of finite displacement and small strain, definition of Green's strain tensor and 2nd Piola-Kirchhoff stress tensor, Polar Decomposition of Deformation Gradient Tensor.

 

3.  Beam Element including Geometrical Nonlinearity

    Rigid motion and Relative displacement, Displacement field and Shape function, Numerical unstable phenomenon like Membrane Locking and Shear locking.

 

4.  Complex Material Nonlinearity like Baushinger's effect

2nd low of Thermodynamics, Principle of the Maximum Plastic Dissipation, Yield Function, Flow rule, Complex Hardening rule. Sub-layer model.

 

5.  Integration Scheme of Plastic problems

Return Mapping Algorithm to rate independent problem.

 

6.  Unstable phenomenon and Numerical technique to collapse simulation

Limit point and Bifurcation point.

Newton-Raphson method, Loading control method like Arc-length method.

 

 

Structural Design of Concrete Structures

2004  Autumn Semester (2-0-0)  (Even Years)

Associate Prof. Hiroyasu SAKATA

 

This course discusses a principle and a behaviour of prestressed concrete structures. Prestressed concrete structures are one of the most reasonable structures that consider the properties of concrete and steel. Nonlinear force-deformation characteristics and shear behaviour of concrete structures will be presented.

1.  Basic Concepts of Prestressing
2.  Pretensioning and Post-Tensioning Technology
3.  Material Properties
4.  Response of Members Subjected to Axial Load
5.  Response of Members Subjected to Flexure
6.  Response of Members Subjected to Shear
7.  Design of Members

 

Theory of Random Vibration

2004  Autumn Semester (2-0-0)  (Even Years)

Associate Prof. Hitoshi MORIKAWA

 

This course discusses the basic theory of probability and stochastic process with some applications to the earthquake engineering. The grading policy is based on a project and its presentation (50%), and midterm examination (50%). Topics dealt in this course include:

 

1.  Introduction to the probability

2.  Introduction to the stochastic process

3.  Analytical properties of stochastic process

4.  Basic idea of time-frequency analysis

5.  Applications to the earthquake engineering

 

 

Exercise in Built Environment  I

2005 Spring Semester (0-0-1)     Master Course

 

Exercise in Built Environment  II

2004 Fall Semester (0-0-1)      Master Course

 

Exercise in Built Environment  III

2006 Spring Semester (0-0-1)     Master Course

 

Exercise in Built Environment  IV

2005 Fall Semester (0-0-1)      Master Course

 

 

Seminar in Built Environment  I

2005 Spring Semester (0-1-0)   Master Course

 

Seminar in Built Environment  II

2004 Fall Semester (0-1-0)      Master Course

 

Seminar in Built Environment  III

2006 Spring Semester (0-1-0)     Master Course

 

Seminar in Built Environment  IV

2005 Fall Semester (0-1-0)      Master Course

 

 

Seminar in Built Environment  V

2005 Spring Semester (0-1-0)     Doctor Course

 

Seminar in Built Environment  VI

2004 Fall Semester (0-1-0)      Doctor Course

 

Seminar in Built Environment  VII

2006 Spring Semester (0-1-0)     Doctor Course

 

Seminar in Built Environment  VIII

2005 Fall Semester (0-1-0)      Doctor Course

 

Seminar in Built Environment  IX

2007 Spring Semester (0-1-0)     Doctor Course

 

Seminar in Built Environment  X

2006 Fall Semester (0-1-0)      Doctor Course