To reduce the computing time of fluid structure coupling
an efficient dynamic mesh method based on the pre-existing elastic solid method is developed. The flow mesh domain is assumed to be a pseudo elastic solid according to the basic hypotheses of the elastic solid method
then the structure and the pseudo elastic solid are considered together as one holistic system. Subsequently the natural frequencies and vibration modes are calculated for the system and the flow force acted on the structure is considered as the excitation of the holistic system. The nodal displacements for the structure and the flow mesh are computed by mode superposition. In fact
the actual fluid structure coupled vibration for structures often appears associated with low order modes
the nodal displacements of the flow mesh can be calculated by modal superposition of the first few of low order modes
thus the flow mesh can be updated efficiently. A beam flutter problem is discussed with the present dynamic mesh method. The results coincide well with the data reported in the existing reference verifying the validation of the present method. The computing time is reduced by 65.5% compared with the pre-existing elastic solid method. The flutter of wing 445.6 is also analyzed and the calculated flutter boundary agrees with the experimental data
SHI Aiming, YANG Qing, YANG Yongnian. Numerical flutter analysis of a 3-D wing using unstructured dynamic mesh Euler method [J]. Journal of Vibration and Shock, 2006, 24(6): 27-28.
TEZDUYAR T E. Stabilized finite element formulations for incompressible flow computations [J]. Advances in Applied Mechanics, 1991, 28: 1-44.
CHEN Yan, CAO Shuliang, LIANG Kaihong, et al. A new dynamic grids based on temperature analogy and its application in vibration engineering with fluid-solid interaction [J]. Journal of Vibration and Shock, 2010, 29(4): 1-5.
XIE Liang, XU Min, ZHANG Bin, et al. Space points reduction in grid deforming method based on radial basis functions [J]. Journal of Vibration and Shock, 2013, 32(10): 141-145.
TEZDUYAR T E, BEHR M, MITTAL S, et al. A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure: I The concept and the preliminary tests [J]. Computer Methods in Applied Mechanics and Engineering, 1992, 94(3): 339-351.
TEZDUYAR T E, BEHR M, MITTAL S, et al. A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure: II Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders [J]. Computer Methods in Applied Mechanics and Engineering, 1992, 94(3): 353-371.
BAR-YOSEPH P Z, MEREU S, CHIPPADA S, et al. Automatic monitoring of element shape quality in 2-D and 3-D computational mesh dynamics [J]. Computational Mechanics, 2001, 27(5): 378-395.
STEIN K, TEZDUYAR T, BENNEY R. Mesh moving techniques for fluid-structure interactions with large displacements [J]. Journal of Applied Mechanics, 2003, 70(1): 58-63.
HUO S H, WANG F S, YAN W Z, et al. Layered elastic solid method for the generation of unstructured dynamic mesh [J]. Finite Elements in Analysis and Design, 2010, 46(10): 949-955.
ZIENKIEWICZ O C, PAUL D K, HINTON E. Cavitation in fluid-structure response with particular reference to dams under earthquake loading [J]. Earthquake Engineering Structural Dynamics, 1983, 11(4): 463-481.
MARSHALL J G, IMREGUN M. A review of aeroelasticity methods with emphasis on turbomachinery applications [J]. Journal of Fluids and Structures, 1996, 10(3): 237-267.
TUREK S, HRON J. Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow [M]. Berlin, Germany: Springer, 2006: 371-385.
YATES E C, Jr. AGARD standard aeroelastic configurations for dynamic response I-wing 445.6 [R]. Neuilly Sur Seine, France: Advisory Group for Aerospace Research and Development Neuilly-Sur-Seine, 1988: 1-74.