Heedong Goh, PhD

Structural Analysis 1

• Objectives
  We study mathematical modeling and analysis to understand the behavior (reactions, moments, deformations, etc.) of fundamental civil structures (beams, trusses, frames, arches, etc.) under loads. Topics include freebody diagrams, the principle of virtual work, analysis of indeterminate structures, and influence lines.
• Schedule
  
  1. Preliminaries
  2. Introduction to Structural Analaysis
  3. Reactions and Internal Forces by Freebody Diagrams
  4. Governing Equations
  5. Principle of Virtual Work
  6. Statically Indeterminate Structures
  7. Influence Lines
• Class hours: 09:30~10:45; M,W; 43-201
• Office hours: Monday 12:00~14:00; 35-414
• TA: Seung Gyu LEE 이승규, Moon Yeup SHIN 신문엽
• Exams: Midterm 01 - Oct 7; Midterm 02 - Nov 11 (tentative); Final - Dec 14 (tentative)
• Materials
  • Lecture notes: Lecture Notes for Structural Analysis by Heedong Goh
  • Past exams: 2024mid01, 2024mid02, 2024final, 2025mid01, 2025mid02, 2025final, 2026mid01
  • chickadee: Python script for 2D frame analysis (under development)
    Please be careful when using the software, as it may have many bugs and errors that could lead to incorrect analyses.

Finite Element Method

• Objectives
  This course introduces the mathematical foundations and numerical methods underlying the Finite Element Method (FEM). Topics include approximation theory, variational principles, the Ritz method, discretization using various shape functions, and numerical integration techniques.
• Schedule
  
  1. Preliminaries
  2. Introduction to finite element method
  3. One-dimensional model problem
  4. Linear elasticity
  5. Electromagnetism
  6. Shape functions
  7. Time integration
  8. Software implementation (using Petsc, Slepc, and Gmsh)
  9. Miscellanies
• Class hours: 14:00~15:15; M,W; 35-223
• Office hours: Monday 12:00~14:00; 35-414
• Materials
  • Lecture notes:
    • Lecture Notes for Finite Element Method by Heedong Goh
      Chapter 2 and 3 are revised.
      Please expect additional revisions.
    • Introduction to Finite Element Method by Hae Sung Lee

Mechanics of Materials

• Objectives
  We study the mechanical behavior of materials—deformation and stress responses under external forces—through mathematical modeling. Emphasis is placed on one-dimensional reductions for common loading cases, including axial loading, torsion, and bending.
• Schedule
  
  1. Preliminaries
  2. Introduction to Mechanics of Materials
  3. Forces and Moments
  4. Stress and Strain
  5. Axial Load
  6. Torsion
  7. Bending
  8. Tensor Transformation
  9. Energy
  10. Stability (buckling)
• Materials
  • Revised lecture notes: Lecture Notes for Mechanics of Materials by Heedong Goh
    Please expect additional revisions throughout the semester.
  • Past exams: 2025mid01, 2025mid02, 2025final, 2026mid01, 2026mid02, 2026final

Inverse Problems

• Objectives
  Inverse problems provide a mathematical framework for extracting unknown parameters from observational data. This course combines theory and practice through applications in image processing, subsurface characterization, damage detection, and device optimization.
• Schedule
  
  1. Preliminaries
  2. Calculus of Variation
  3. Regularization Theory (Tikhonov regularization, total variation methods)
  4. Adjoint Method
  5. Optimization (line search, steepest descent, Newton method, Gauss-Newton, inexact Newton)
• Materials
  • Lecture notes: Lecture Notes for Inverse Problems by Heedong Goh