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Title: Method and apparatus for shape-based energy analysis of solids

Abstract

A method of evaluating response of a physical structure to external stimulus includes defining a mesh of finite elements, each defined by edges, for a model of the physical structure. The method includes identifying a governing differential equation and associated complementary functions, which are each associated with a scalar multiplier. The method includes generating an energy optimization model that minimizes a difference between internal and external energies of the finite elements. The internal energy is based on strain energy in a volume defined by the edges of the finite element and resulting from deformations by the complementary functions. The external energy of each finite element is based on external work done by the external stimulus acting on the finite element as deformed by the complementary functions. The method includes solving the energy optimization model for the scalar multipliers and calculating a resulting parameter of interest of the physical structure.

Inventors:
Issue Date:
Research Org.:
Spears, Robert, Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1576413
Patent Number(s):
10,394,977
Application Number:
14/298,522
Assignee:
Spears, Robert, Idaho Falls, ID (United States)
DOE Contract Number:  
AC07-05ID14517
Resource Type:
Patent
Resource Relation:
Patent File Date: 2014 Jun 06
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Spears, Robert E. Method and apparatus for shape-based energy analysis of solids. United States: N. p., 2019. Web.
Spears, Robert E. Method and apparatus for shape-based energy analysis of solids. United States.
Spears, Robert E. Tue . "Method and apparatus for shape-based energy analysis of solids". United States. https://www.osti.gov/servlets/purl/1576413.
@article{osti_1576413,
title = {Method and apparatus for shape-based energy analysis of solids},
author = {Spears, Robert E.},
abstractNote = {A method of evaluating response of a physical structure to external stimulus includes defining a mesh of finite elements, each defined by edges, for a model of the physical structure. The method includes identifying a governing differential equation and associated complementary functions, which are each associated with a scalar multiplier. The method includes generating an energy optimization model that minimizes a difference between internal and external energies of the finite elements. The internal energy is based on strain energy in a volume defined by the edges of the finite element and resulting from deformations by the complementary functions. The external energy of each finite element is based on external work done by the external stimulus acting on the finite element as deformed by the complementary functions. The method includes solving the energy optimization model for the scalar multipliers and calculating a resulting parameter of interest of the physical structure.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {8}
}

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Works referenced in this record:

Numerically-simulated rigid body creation mehtods and systems thereof
patent, June 2013


Knowledge driven composite design optimization process and system therefor
patent, November 1999


Method for optimization of sheet metal forming tool topology
patent, August 2012