Non-linear dynamic analysis of large domes using spectral element methods

Based on the complex spectral element method and the theory of fractional calculus, a non-linear dynamic analysis method is developed to obtain the response of large dome structures under sever dynamic loads. The new method is capable of making accurate predictions of the non-linear dynamic behavior of large space structures including strain-hardening effects. The frequency-dependent damping characteristic of materials can also be modeled accurately using the fractional derivative model. It is shown that the proposed method can be extended to develop a frequency domain dynamical method to analyze damped large space structures under vibrating load. The non-linear dynamical solution is shown graphically, and the consistency of method is investigated. Using a computer program, the proposed formulation has been used to derive the dynamic response of a large dome structure.

• INTRODUCTION

• SPECTRAL ELEMENT METHOD

• DAMPED SPECTRAL ELEMENT METHOD

• A NUMERICAL EXAMPLE

• CONCLUDING REMARKS

• ACKNOWLEDGMENTS

• REFERENCES