The Study Of Stability Of Chain Engineering Structure Based On GDQR

Beams and tubes as the typical chain engineering structures have significant researchvalue. Many engineering problems can be simplified as beam model, and thus the stabilitystudy on beams, especially those which under the actual working conditions is of muchimportance. Pipes were widely used in many engineering fields, such as hydraulicengineering, mechanical power, oil and energy industry, chemical industry, nuclear powerindustry, marine engineering and military engineering. Divergence/flutter of pipeline whenit is transporting steady flow or parametric instability when transporting pulsating flowoften leads to huge losses, so stability analysis for pipeline has important academic andengineering value.According to the existing research achievements, divergence/flutter instabilityresearch with complex boundary conditions and supporting state is relatively few. In thispaper, the stability of two typical chain engineering structures under complex boundaryconditions and supporting state were discussed through GDQR, the main works in thispaper were as follows:(1) For a single-span beam under complex supporting conditions, divergence/flutterinstability when imposed axial force and tangential force were discussed, the stabilityanalysis of single-span beam on elastic foundation were also carried out, it was shown thatelastic stiffness and tangential coefficient had a big influence on critical load and the typeof instability,(2) multi-span beam stability issues were also involved and the feasibility of solvingthe stability of beam with end mass by GDQR was verified, the results showed thatGDQR could solve these two types of stability problem effectively, paving the way forfurther discussion in more complex model analysis,(3) the stability of straight pipe conveying fluid under complex support conditionswas researched, the influence of the elastic support stiffness, flow velocity, mass ratio onthe stability of the pipe was also discussed, for straight pipes conveying fluid on elasticfoundation, the effect of elastic support stiffness, ground reaction force coefficient andfoundation shear modulus to stability area was studied and the stability of the curved pipe conveying fluid was also investigated, some useful conclusions were summarized.