Journal
Scientific and Technical Journal of Information Technologies, Mechanics and Optics
UDK519.63
Issue:2 (148)
Download PDF0 Kbyte
Mixed forms of free oscillations of a rectangular CFCF-plate
Annotation
Mixed (symmetrically/antisymmetric) forms of natural oscillations of a thin rectangular plate of constant thickness, in which two parallel sides are rigidly pinched, and the other two are free (CFCF plate, C — clamped, F — free), are studied. When all the conditions of the boundary value problem are satisfied, a resolving infinite homogeneous system of linear algebraic equations with respect to unknown coefficients of the series is obtained using two hyperbolo-trigonometric series of the coordinate deflection function. Even functions on one coordinate and odd functions on another coordinate were used to obtain symmetric-antisymmetric waveforms. As a parameter, the resulting system contains the relative frequency of free oscillations. Nontrivial solutions of the reduced system were found by the method of successive approximations in combination with a search of the frequency parameter. Numerical results are obtained for the spectrum of the first six mixed (symmetric/antisymmetric — S-A and A-S) forms of free oscillations of a thin square CFCF plate of constant thickness. The natural frequencies were compared with the results of other authors and with known experimental values. The influence on the accuracy of the results of the number of members held in rows (the size of the reduced system) and the number of iterations is investigated. 3-D images of the found waveforms are presented. The results obtained can be used in the design of various sensors and sensors using the resonance phenomenon.
Keywords
Постоянный URL
Articles in current issue
- Polymer composition with phenanthrenequinone for recording relief holographic gratings
- Modern approaches to the application of mathematical modeling methods in biomedical research
- Analysis of the phase images obtained during the collection of a holographic registration system based on the geometric phase effect and a polarization camera
- Color triangle color separation system for colorimetric research in microscopy
- The concept of aerial photography using a two-element active optoelectronic complex
- Variational problem of adaptive optimal control. Theoretical and applied computer analysis
- Brief review of the development of theories of robustness, roughness and bifurcations of dynamic systems
- Multiple context-free path querying by matrix multiplication
- Predicting the results of the 16-factor R. Cattell test based on the analysis of text posts of social network users
- Methodology for the control of electric power distribution system components to ensure the quality of consumed electricity
- Voice based answer evaluation system for physically disabled students using natural language processing and machine learning
- Natural language based malicious domain detection using machine learning and deep learning
- Hybrid JAYA algorithm for workflow scheduling in cloud
- Information model of the essential goods purchase duration
- Analysis and control of user engagement in personalized mobile assisting software for chronic disease patients
- Role discovery in node-attributed public transportation networks: the model description
- A survey of network intrusion detection systems based deep learning approaches
- Monitoring the health status of the population by age groups
- An intelligent shell game optimization based energy consumption analytics model for smart metering data
- Active voltage damping method with negative DC link current feedback in electric and hybrid electric transmissions
- Comparative analysis of switched reluctance motor control algorithms
- Gas dynamics of stationary supersonic gas jets with inert particles exhausting into a medium with low pressure
- Modeling of heat-hydrodynamic processes in evaporators of low-temperature systems with intrachannel boiling of refrigerants
- High performance modeling of the stress-strain state of thin-walled shell structures with the use of deep learning
- Validation of state machine specifications