Summary
The nonlinear transfer behaviour of an assembled structure such as a large lightweight space structure is caused by the nonlinear influence of structural connections. Bolted or riveted joints are the primary source of damping compared to material damping, if no special damping treatment is added to the structure. Simulation of this damping amount is very important in the design phase of a structure. Several well known lumped parameter joint models used in the past to describe the dynamic transfer behaviour of isolated joints by Coulomb friction elements are capable of describing global states of slip and stick only.
The present paper investigates the influence of joints by a mixed experimental and numerical strategy. A detailed Finite Element model is established to provide understanding of different slip-stick mechanisms in the contact area. An advanced lumped parameter model is developed and identified by experimental investigations for an isolated bolted joint. This model is implemented in a Finite Element program for calculating the dynamic response of assembled structures incorporating the influence of micro- and macroslip of several bolted joints.
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Abbreviations
- a :
-
acceleration
- E 0, Et :
-
material moduli
- F 0 :
-
mass weighted excitation force
- F t :
-
tangential joint force
- F :
-
generalized force
- F *exc :
-
excitation force
- F exc :
-
amplitude of excitation force
- F C0 :
-
spring element force
- F R0 :
-
friction element force
- K A, KB :
-
normal stiffness
- K t :
-
tangential stiffness
- L :
-
length of contact area
- M t :
-
transmitted joint torque
- m red :
-
reduced mass
- p :
-
normal contact pressure
- r :
-
effective radius
- q :
-
generalized coordinate
- z :
-
internal variable
- x :
-
coordinate in the contact area
- Δu :
-
relative displacement
- Δu :
-
relative velocity
- ΔΠ:
-
relative angle
- μ:
-
friction coefficient
- ϑ:
-
damping ratio
- λ:
-
material parameter
- σ0 :
-
equivalent slip limit
- χ:
-
microslip parameter
- Ω:
-
excitation frequency
References
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Dedicated to Prof. Dr. Dr. h. c. Franz Ziegler on the occasion of this 60th birthday
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Gaul, L., Lenz, J. Nonlinear dynamics of structures assembled by bolted joints. Acta Mechanica 125, 169–181 (1997). https://doi.org/10.1007/BF01177306
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DOI: https://doi.org/10.1007/BF01177306