everything.study
2.092

Statistics, Computation and Applications

3-1-8 units · Undergraduate

See description under subject IDS.012[J] . Enrollment limited; priority to Statistics and Data Science minors, and to juniors and seniors.

Fall 2009 · Finite Element Analysis of Solids and Fluids I

This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program {{% resource_link "2897f3e6-49e4-4634-b4ef-df1cce66d480" "ADINA" %}}. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.

Readings

  • Bathe, K. J. Finite Element Procedures . 2nd ed. Klaus-Jürgen Bathe, 2014. ISBN: 9780979004957.
    Listed reading
  • SES #: 1 · TOPICS: Introduction: why to study FEA · READINGS: Chapter 1
    Reading assignment
  • SES #: 2 · TOPICS: The finite element analysis process · READINGS: Sections 3.1, 3.2 and 4.1
    Reading assignment
  • SES #: 4 · TOPICS: The principle of virtual work · READINGS: Section 3.3.4
    Reading assignment
  • SES #: 5 · TOPICS: The finite element formulation · READINGS: Section 4.2 · KEY DATES: Homework 1 due, Homework 2 out
    Reading assignment
  • SES #: 10 · TOPICS: Nonlinear finite element analysis of solids and structures · READINGS: Sections 6.1 and 8.4.1 · KEY DATES: Homework 4 due, Homework 5 out
    Reading assignment
  • SES #: 11 · TOPICS: Heat transfer analysis · READINGS: Sections 7.1 - 7.4.1
    Reading assignment
  • SES #: 12 · TOPICS: Finite element analysis of heat transfer and incompressible fluid flow · READINGS: Section 7.4.2 · KEY DATES: Homework 5 due
    Reading assignment
  • SES #: 13 · TOPICS: Physical explanation of Gauss elimination · READINGS: Sections 8.1, 8.2
    Reading assignment
  • SES #: 16 · TOPICS: Solution of dynamic equilibrium equations, cont’d · READINGS: Sections 9.1 - 9.3 · KEY DATES: Homework 6 due, Homework 7 out
    Reading assignment
  • SES #: 20 · TOPICS: Wave propagation response · READINGS: Section 9.6
    Reading assignment
  • SES #: 21 · TOPICS: Solution of the generalized eigenvalue problem · READINGS: Chapters 10 and 11
    Reading assignment
  • You will find readings and references to special topics in the textbook.
    Listed reading
  • The reading assignments will be given in each lecture and will refer to the textbook Finite Element Procedures . A list of readings by session is also available on the Calendar page. ↗
    Listed reading

Prerequisites & course information

Same subject as 6.3730J, IDS.012[J] Subject meets with 2.093[J] , 6.3732J, IDS.131[J] Prereq: ( 6.100B , ( 18.03 , 18.06 , or 18.C06[J] ), and ( 6.3700 , 6.3800 , 14.30 , 16.09 , or 18.05 )) or permission of instructor U (Spring) Not offered regularly; consult department 3-1-8 units

Sources