Performance evaluation for the domain decomposition method in nonlinear vibration of the composite hard-coating...

Area of Science:

• Mechanical Engineering
• Computational Mechanics

Background:

• The modified domain decomposition method's application in composite hard-coating cylindrical shells is limited due to insufficient investigation of its parameters for precision.
• Accurate nonlinear vibration analysis of these shells is crucial for engineering applications.

Purpose of the Study:

• To develop and evaluate a parametric domain decomposition method for self-performance assessment in nonlinear vibration analysis.
• To optimize decomposition parameters for enhanced accuracy and computational efficiency.

Main Methods:

• A parametric domain decomposition method was developed for nonlinear vibration analysis.
• A preprocessing scheme was designed to avoid redundant matrix computations by pre-establishing analytical expressions and databases.

Main Results:

• Nonlinear vibration response is sensitive to the circumferential segment number but less so to the axial segment number.
• An optimal circumferential segment number of N=70 was identified for achieving good accuracy and efficiency.
• Smaller circumferential segment numbers led to larger equivalent strain and reduced solution accuracy.

Conclusions:

• Sufficient solution accuracy for nonlinear vibration analysis of composite hard-coating cylindrical shells depends on an adequate circumferential segment number, not solely on the axial segment number.
• The optimal circumferential segmentation is fundamentally linked to equivalent strain distributions, gradients, and the shell's wave numbers.