Viscoelastic Model Generation for Temperature-Dependent Dynamic Response
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Solution Overview
Problem
Existing model generation methods for dynamic responses of viscoelastic body parts do not account for changes in characteristics due to environmental temperature, leading to inaccurate analysis.
Innovation Solution
A model generation method that includes generating static and generalized Maxwell models for various temperature conditions, identifying spring and damper coefficients as functions of strain rate, and applying these coefficients to the generalized Maxwell model to accurately reproduce dynamic responses under temperature-dependent conditions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a conventional model generation method is used, then the model can be generated quickly and simply, but the model cannot accurately reproduce dynamic response under different temperature conditions
Solution Approach 1:
The patent applies preliminary action by pre-generating static models at multiple temperature conditions before dynamic analysis. The method performs static analysis at each temperature condition in advance, stores the results, and then uses these pre-computed static models as the basis for dynamic response analysis. This allows the dynamic model to accurately reflect temperature-dependent characteristics without performing full dynamic analysis at every temperature condition, thus improving accuracy while managing complexity.
Solution Approach 2:
The patent segments the model generation process into distinct temperature conditions. Instead of creating a single generic model, it divides the analysis into multiple static model generation steps at different temperatures, then combines these segmented results into a comprehensive dynamic model. This segmentation allows each temperature condition to be independently characterized and then integrated, improving the overall accuracy of dynamic response reproduction across varying temperature environments.
2Reliability
If temperature dependence is not considered, then the model generation process is simple, but the analysis results do not reflect real-world conditions where temperature affects viscoelastic characteristics
Solution Approach 1:
The patent applies dynamics by making the model adaptive to changing temperature conditions. Instead of using fixed material properties, the method dynamically adjusts the static model parameters based on the temperature condition. The system generates static models at multiple temperature points and then uses these temperature-dependent static models to construct a dynamic model that can adapt to varying thermal environments, thereby improving reliability while managing complexity through systematic methodology.
3Measurement precision
If static models are generated for each temperature condition, then temperature-dependent characteristics can be captured, but the computation time and processing complexity increase
Solution Approach 1:
The patent applies preliminary action by performing static analysis at multiple temperature conditions in advance before the actual dynamic analysis. The static models generated at each temperature condition are stored and then reused as the basis for dynamic response analysis. This preliminary computation approach allows the system to capture temperature-dependent characteristics accurately while avoiding the need to perform full dynamic analysis at every temperature condition, thus reducing overall computation time.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables highly accurate analysis of dynamic responses that reflect temperature-dependent characteristics, improving simulation accuracy and reproducibility of viscoelastic body parts like vehicle suspension bushes and engine mounts.
Implementation Method 1
a bush which is a part configured by providing a viscoelastic body (for example, rubber) that is distorted in accordance with a load between an inner cylinder and an outer cylinder
Implementation Method 2
a damper 3-i having a damper viscosity coefficient Ci that are connected in series
Data Source
AI summary
A static matrix model in a viscoelastic body is generated for each environmental temperature condition. A generalized Maxwell model is generated for each environmental temperature condition using a matrix of the static matrix model. A spring coefficient and a damper viscosity coefficient of a material test piece is identified as a function of a strain rate norm based on a measurement result of the material test piece using a temperature-time conversion rule. An average strain rate of a part is identified as a function of a displacement rate vector. A dynamic spring coefficient and a damper viscosity coefficient of the part are identified as a function of a component of the displacement rate vector. A generalized Maxwell model for analysis is generated by applying the dynamic spring coefficient and the damper viscosity coefficient identified as the function of the component of the displacement rate vector to the generalized Maxwell model.