Hagigat, C. K. (2022, March), Analysis of Beams on Elastic Foundations by NASTRAN/PATRAN Finite Element software  Paper presented at 2022 ASEE - North Central Section Conference, Pittsburgh, Pennsylvania. 10.18260/1-2--39229

\bibitem{asee_peer_39229}
  Hagigat, C. K. (2022, March), \emph{Analysis of Beams on Elastic Foundations by NASTRAN/PATRAN Finite Element software}
  Paper presented at 2022 ASEE - North Central Section Conference, Pittsburgh, Pennsylvania.
  10.18260/1-2--39229

Cyrus K Hagigat.  "Analysis of Beams on Elastic Foundations by NASTRAN/PATRAN Finite Element software".  2022 ASEE - North Central Section Conference, Pittsburgh, Pennsylvania, 2022, March.  ASEE Conferences, 2022.  https://peer.asee.org/39229 Internet.  22 Feb, 2025

\bibitem{asee_peer_39229}
  Cyrus K Hagigat.
  "Analysis of Beams on Elastic Foundations by NASTRAN/PATRAN Finite Element software".
  \emph{2022 ASEE - North Central Section Conference, Pittsburgh, Pennsylvania, 2022, March}.
  ASEE Conferences, 2022.
  https://peer.asee.org/39229 Internet.  22 Feb, 2025

@INPROCEEDINGS{asee_peer_39229
author = "Cyrus K Hagigat"
title = "Analysis of Beams on Elastic Foundations by NASTRAN/PATRAN Finite Element software"
booktitle = "2022 ASEE - North Central Section Conference"
year = "2022"
month = "March"
address = "Pittsburgh, Pennsylvania"
publisher = "ASEE Conferences"
note = {https://peer.asee.org/39229}
number = {10.18260/1-2--39229}
}

TY  - CPAPER
AB  - NASTRAN/PATRAN is one of the more commonly used Finite Element technique software packages which can be used to obtain solutions for non-standard loading scenarios.
One of the non-standard loading scenarios is “Beams on Elastic Foundations.” The Elastic foundation can be continuous or applied at certain point(s) along the beam. Closed form solutions for Static Stress analysis for such structures are available for some standard “Beams on Elastic Foundations” cases in classical textbook such as “Roark’s Formulas for Stress & Stain.” However, the formulas are tedious to use and apply to limited loading conditions. The presence of elastic supports also influence the vibration behavior of the structures. The vibration characteristics of such structures cannot be obtained by classical vibration analysis techniques, and Finite Element techniques must be used for accurate vibration analyses.
In this article, NASTRAN/PATRAN is used to perform Static and Vibration analyses of beams on elastic foundations subjected to various loading conditions. The techniques illustrated in this article were used in a “Machine Design” course. The study involved verifying the Static Finite Element results by comparing them to results for scenarios where classical solutions from Roark’s were available and then extending the Finite Element model beyond the scope of classical solutions. The Vibration Finite Element models were initially developed and verified by comparing their results against known solutions, and then the modeling techniques were used to model more complicated structures where no classical solution exists.

AU  - Cyrus K Hagigat
CY  - Pittsburgh, Pennsylvania
DA  - 2022/03/18
PB  - ASEE Conferences
TI  - Analysis of Beams on Elastic Foundations by NASTRAN/PATRAN Finite Element software
UR  - https://peer.asee.org/39229
DO  - 10.18260/1-2--39229
ER  -