Cyclic symmetry structure frequency response analysis method of additional dry friction damper

Abstract

The invention belongs to the technical field of structural vibration reduction dynamics calculation methods, in particular to a cyclic symmetry structure frequency response analysis method of an additional dry friction damper. The cyclic symmetry structure frequency response analysis method of the additional dry friction damper comprises the following specific operation steps: S1, establishing a structural member and damper sector kinetic equation, s2, establishing a sector finite element model; obtaining a sector quality and rigidity matrix; s3, performing degree-of-freedom compression on thesector model by applying a modal synthesis method; s4, adding a complex constraint boundary condition to the compressed model; s5, performing time domain representation of dry friction force; S6, solving a nonlinear equation set by using a mixed time-frequency method. According to the cyclic symmetry structure frequency response analysis method of the additional dry friction damper, storage resources and calculation time are greatly saved, the calculation time saving ratio is equivalent to the saving ratio of the storage resources, the number of nonlinear degrees of freedom participating in iteration is reduced, the convergence risk is effectively reduced, and an efficient and robust frequency response solving algorithm is formed.

Description

technical field [0001] The invention relates to the technical field of dynamic calculation methods for structural vibration reduction, in particular to a frequency response analysis method for a cyclically symmetrical structure with an added dry friction damper. Background technique [0002] The aviation industry usually makes rotating structural parts into thin-walled structures. Thin-walled structures are prone to overall large-scale vibration under dynamic load excitation, resulting in large dynamic stress, premature initiation of fatigue cracks, and sudden fracture in a specific frequency range. The failure of power or transmission critical parts will cause accidents. The introduction of dry friction can significantly suppress the vibration amplitude of thin-walled rotating components. The vibration reduction mechanism is: when the structure vibrates greatly, the damping generated by the relative motion between the friction contact surfaces effect to achieve the purpose ...

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Problems solved by technology

[0005] The purpose of the present invention is to provide a method for analyzing the frequency response of a cyclically symmetrical structure with an additional dry friction damper, so as to solve the problems of low accuracy and inability to save storage resources in the existing methods proposed in the above-mentioned background technology

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