Abstract
Stress and strain state of hybrid (combined) systems including flexible and rigid elements is studied in the article. Theoretical approach is presented. The feature of the systems studied is described, i.e. structural nonlinearity. Numerical analysis is presented. It is pointed out that vibrations of such structures upon conditions of resonance differ from those of classical bar structures, i.e. if for rigid bar systems the amplitudes of vibration at resonant disturbance increase monotonously, in combined (hybrid) system alternate switching off tie-bars stabilizes the amplitude of vibration at a certain value and transfers vibrations in the beating mode that can be considered as an internal vibration absorber.
Highlights
Numerical analysis of work of considered structures has proved that the behaviour of vibrations of preliminarily stressed combined systems differs substantially from the similar bar ones
One can see that at ordinary beam vibrations, the amplitudes at resonant disturbance increase monotonously, and in combined system alternate switching off tie-bars stabilizes the amplitude at a certain value and transfers vibrations in beating mode. This feature of combined systems may be regarded as the internal vibration absorber
The spectrum of strut frame vibration amplitudes differs from beam vibrations spectrogram: instead of resonant increase of vibration amplitudes one can observe the beating mode characterised by periodic increase and decrease of vibration amplitudes
Summary
Combined systems are the assemblage of rigid and flexible elements, at that, flexible elements due to their features take only stretching forces (Fig. 1). Such structures are used as bearing elements of structure and installation roofs. Various dynamic loads may have impact on the systems considered: wind, industrial seismic loads caused for example by a passing train, etc This defines the necessity of hybrid system dynamic calculation. Vibrations of such combined systems have nonlinear behaviour resulting from variability of elastic repulsion of preliminarily stressed tie-bars, longitudinal and transverse strains of beam, capability of tie-bars to take stretching forces only, etc. Rigidity matrix and mass matrix in the local coordinate system look like as follows: A
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