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8. References

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Craig edited this page May 12, 2023 · 1 revision

List of References

Below is a list of the references used in creating PyNite, and links to find those references where available. They include college course notes, textbooks, and journal articles. The link to Reference 2 is to a newer edition.

  1. Chambers, J. (2007). Assembling the Structure's Stiffness Matrix Using the "Visual Approach". Salt Lake City, UT, USA: Janice Chambers.
  2. Logan, D.L. (2007). A First Course in the Finite Element Method (4th ed.). Toronto, Ontario, Canada: Nelson, a division of Thomson Canada Limited
  3. McGuire, W., Gallagher, R.H., & Ziemian, R.D. (2014). Matrix Structural Analysis (2nd ed.).
  4. Bathe, K.J. (2014). Finite Element Procedures (2nd ed). Watertown, MA, United States: K.J. Bathe.
  5. Gallagher, Richard H. (1975). Finite Element Analysis Fundamentals. Englewood Cliffs, NJ, USA: PRENTICE-HALL, INC.
  6. Przemieniecki, J.S. (2012). Theory of Matrix Structural Analysis (Dover ed.). Mineola, NY, USA: DOVER PUBLICATIONS, INC.

References Used by Topic

  • General finite element analysis: References 1 & 2.
  • Transformation matrices: Reference 2.
  • Member end releases (internal hinges): Reference 2.
  • P-Delta analysis (geometric stiffness): References 3 & 6.
  • Rectangular plate elements: References 2, 5 & 6.
  • MITC4 quadrilateral elements: Reference 4.

Discussion of References

Reference 1 was from my Structural Analysis 2 course notes at the University of Utah. It was my first introduction to finite element analysis. Reference 2 was a good general reference, but I found it difficult to follow in some places, and it contained a lot of errors in important equations. I recommend it, but for me it wasn't enough by itself to get me there. References 4 and 5 were very helpful in closing the gap. Reference 5 provided closed form stiffness matrices for some elements. Reference 4 is free online from MIT, and was very technical, but very good at explaining isoparametric elements and quadrilaterals. Reference 6 was simple and provided closed form stiffness matrices for many elements. Reference 3 was not used much, but is free online and provides a good information on advanced frame analysis techniques. It may be helpful in implementing advanced features in the future.

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