Input parameter and thermal load representation uncertainties effects on the buckling and dynamic characteristics of cylindrical tubes. (English) Zbl 1502.74053
Summary: This research considers different methods in sensitivity analysis and uncertainty quantification applied to cylindrical tubes subject to three types of thermal load representation, namely, uniform, linear, and nonlinear in the radial direction. Sensitivity analysis techniques are used to quantify and rank the parameters that are most influential in altering the critical buckling temperatures, the post-buckled configuration amplitudes, and the natural frequencies in the pre- and post-buckling regimes. The uncertainty quantification and sensitivity analysis strategies show a great potential and usefulness in terms of determining the most influential input parameters for cylindrical tubes subject to thermal loads. Based on the set of nominal parameters in this study, it is shown that the length is the most sensitive parameter in altering the critical thermal buckling load. Additionally, it is demonstrated how uncertainty in the thermal load representation can lead to over or underestimation in both sensitivity analysis and uncertainty quantification findings. The outcome of this analysis can be utilized by other researchers in the design and optimization of cylindrical tubes in thermal environment.
MSC:
| 74H55 | Stability of dynamical problems in solid mechanics |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74F05 | Thermal effects in solid mechanics |
Keywords:
Euler-Bernoulli beam; von Karman geometric nonlinearity; uncertainty quantification; sensitivity analysis; critical buckling temperature; post-buckled natural frequencySoftware:
VARS-TOOLReferences:
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