Energy Loss Estimation in High Polymer Materials
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Solution Overview
Problem
Existing methods for estimating energy loss in high polymer materials, such as those used in tires, often result in unstable calculations and inaccuracies due to coinciding oscillation cycles in molecular structure models and cyclic deformations, leading to calculation failures and discrepancies between simulated and actual values.
Innovation Solution
A computerized method that only performs deformation calculations when the cyclic deformation cycle is outside the range of 0.8 to 1.2 times the oscillation cycle of the molecular structure model's characteristic frequency, ensuring stable and accurate energy loss estimation by preventing calculation instability and overlap issues.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a cyclic deformation is applied to the high polymer material model to compute stress and strain, then the energy loss can be estimated from the hysteresis loop, but the calculation becomes unstable and abends when the deformation cycle coincides with the oscillation cycle of the molecular structure model
Solution Approach 1:
The patent applies dynamics by making the deformation cycle adjustable and adaptive. The simulation dynamically selects deformation cycle values from a plurality of candidate values, changing the cycle parameter based on whether resonance conditions are detected. This dynamic adjustment resolves the contradiction by allowing the system to adapt its operation mode to avoid unstable resonance conditions while maintaining accurate energy loss measurement capability.
Solution Approach 2:
The patent changes the deformation cycle parameter to resolve the contradiction. By selecting from multiple candidate deformation cycle values and avoiding those that coincide with the oscillation cycle of the molecular structure model, the system maintains calculation stability. The parameter change principle is applied by varying the deformation cycle parameter to prevent resonance while preserving the ability to accurately compute energy loss from the hysteresis loop.
2Adaptability or versatility
If the deformation cycle is set to match the oscillation cycle of the molecular structure model, then resonance effects can be studied, but the calculation becomes unstable and produces inaccurate results
Solution Approach 1:
The system maintains adaptability by having a plurality of candidate deformation cycle values available for selection. When resonance conditions are detected, the system dynamically switches to a different cycle value, preserving the capability to study resonance effects at different frequencies while avoiding the instability that occurs when the deformation cycle exactly matches the molecular oscillation cycle.
Solution Approach 2:
The patent applies parameter changes by selecting deformation cycle values from multiple candidates. This allows the system to change the deformation cycle parameter to avoid resonance-induced instability while maintaining the versatility to analyze different cyclic conditions. The energy loss calculation accuracy is preserved by selecting appropriate cycle values that do not trigger unstable resonance conditions.
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
This approach allows for stable and accurate estimation of energy loss in high polymer materials, preventing calculation failures and improving the accuracy of energy loss computation, thereby enhancing the reliability of material performance predictions.
Implementation Method 1
a step S2 for simulating structural relaxation that stabilizes the molecular chain model based on the molecular dynamics calculations
Implementation Method 2
potentials are defined on the molecular structure model
Implementation Method 3
by applying a cyclic deformation to the high polymer material model, the stress and strain are computed
Implementation Method 4
a hysteresis loop is obtained from the computed results, and the energy loss is computed from the area of the hysteresis loop
Data Source
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AI summary
A method for estimating an energy loss of a high polymer material is disclosed. A model of the molecular structure of the high polymer material is defined. This model includes particle models and joining chains. Potentials are defined on the particle models. A high polymer material model in which the molecular structure models are arranged at cells is defined. A structure relaxation calculation is made. Thereafter, by applying a cyclic deformation to the high polymer material model, the stress and strain are computed, and the energy loss is computed therefrom. The deformation calculation is made only when the cycle of the cyclic deformation is not equal to the oscillation cycle determined by the characteristic frequency of the potential.