Method and apparatus for system characterization and analysis using finite element methods
AssigneeOceanautes Inc.
InventorMinetada Osano
Life of this patent
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Abstract
A method and apparatus for analyzing and producing systems based upon finite element modeling and partial differential equations is presented. The apparatus includes the capability for parallel processing and decomposition of a model into parts. The method permits a model to be assembled from parts stored in a memory or database. The model is produced by interconnecting into a package the partition subsystems through an interface. The system does not require processing of data relating to an entire model at a single time. It thus permits analyses to be performed with reduced processing times and memory capacity requirements.
Claims20
An apparatus for analyzing a physical or produced system based on linear systems applied to a terminal part system (TPS) based on a decomposition method for finite element modeling or partial differential modeling, comprising:
- an input device for receiving information data on a number and shape for decomposing a modeling system to input parts;
- a generating part device which decomposes a modeling system to a number of parts using the information data;
- a solver(a) device for each said part;
- a generating node block which arranges nodes on an object, selects a node for deciding itself, numbers its node as a kth node;
- a generating element block which constructs only elements of relating to the selected kth node by dividing an object in accordance with a design of the shape data and numbers its elements;
- a generating element equation block for generating element equations from the elements generated above;
- an assembly means for assembling the element equations connected to a selected node;
- a memory block for storing the assembled element equations;
- a generating block for generating nodal equations which generates the nodal equations for the kth node by selecting the equations connected to the node from the element equations stored in memory block;
- a PSS equation-making block which assembles the node equations and boundary conditions of kth node into a basic PSS equation;
- a PSS equation-determining block;
- a memory block for storing the basic PSS equation;
- a judgment block for determining if the kth node is the final node.
- a solver(b) device for each said processing part;
- a means for producing an interface terminal part for each part;
- a means for producing a package for groups of similar part;
- a means for producing an interface terminal part from the package;
- a solver(c) device for assembling the interface terminal part to produce a system of equations representative of the system before decomposition;
- a solver(d) device for each said processing part;
- a means for determining the state of the interface terminal nodes and all nodes by backsolving technique;
- a storing device for storing a basic PSS equation of each said processing part;
- and
- representing device for presenting the simulation result obtained.
A method for analyzing a physical system using linear equations with finite element modeling or partial differential modeling, comprising the steps of:
- (a) inputting information data as to the number and the shape for decomposing a system model to parts;
- (b) generating parts decomposed from a system model in accordance with the information data;
- (c) arranging nodes of the object to be analyzed in accordance with information of input data;
- (d) numbering the arranged nodes;
- (e) selecting one node as a kth node to be determined where k is 1 for the first node selected and subsequent nodes are incremented;
- (f) constructing only elements connected to the selected kth node within the modeling system data;
- (g) numbering the elements constructed;
- (h) generating element equations for all elements generated based on a partial differential equation;
- (i) storing the element equations in memory;
- (j) generating nodal equations for the selected kth node by selecting the equations in respect of kth node from the element equations stored in memory;
- (k) assembling the nodal equations and boundary conditions of the kth node into a basic PSS equation;
- (1) finding a solution to the basic PSS equation;
- (m) storing the solution to the basic PSS equation in memory;
- (n) judging the state in reference with the condition that, if the kth node is not last node, returning to step (d) and repeating steps (b) to (m) until the kth node is the last node or if kth node is the last node, then ending the simulation process and outputting the analyzed results.
- (o) producing a terminal pan by decomposing the object to be analyzed to produce an interface terminal pan.
- (p) producing with a solver(b) device the interface terminal part from the terminal part;
- (q) producing the package by gathering similar parts;
- (r) producing the interface terminal pans from the package;
- (s) assembling the interface terminal pans with solver(c) device to recover an original system;
- (t) determining the state of the interface terminal nodes and all nodes by backsolving for each said processing parts;
- (u) storing a basic PSS equation of each processing part;
- and
- (v) outputting an indication of the physical characteristics of the physical system.
Dependencies are inferred from the claim text.