Calculation of optimal parameters of the foundation for woodworking machines with large dynamic loads
DOI:
https://doi.org/10.32347/2410-2547.2022.109.473-484Keywords:
model, ground, differential equation, resonance, logarithmic decrement, optimization criterion, cost, application softwareAbstract
The groundwork for machines with dynamic loads should meet the calculation requirements regarding strength and suitability for regular operation and the need for occupational safety standards regarding acceptable vibration levels. In addition, fluctuations in the groundwork should not cause a harmful impact on technological processes, equipment, and devices located on the foundation or outside it.A mathematical model of foundation vibrations and a methodology for calculating the foundation parameters are presented, taking into account dynamic loads from unbalanced masses and dynamic characteristics of the ground base.The mathematical model is a solution to the differential equation of the foundation vibrations.The article refutes a number of conventional concepts regarding the body of the foundation, its base, the geometric center and the damper between the foundation and the ground.The basis for determining the vibration damping modulus is the logarithmic decrement of vibration damping.It is constant and depends on the elastic and damping properties of the soil, as well as the installation mass. The more significant the logarithmic decrement, the faster the extinction occurs. It was found that an increase in the vibration resistance coefficient allows reducing the mass of the installation with a simultaneous increase in the area of its base, so the mass acts as a limitation.It was established that to ensure vibration resistance and prevent the resonance of the foundation, the ratio of the frequency of its natural vibrations to the frequency of forced vibrations should be at least 1.5.The calculation of the optimal mass, the base area and the depth of foundation laying is carried out according to the criterion of the minimum cost of its construction.An application software has been developed for the calculation. The projection methodology for the foundation for the machine with large dynamic loads is for a two-story sawmill.
References
Savynov O.A. Sovremennye konstrukcyi fundamentov pod mashynyiih raschet: 2-e izdanie pererab. I dop. (Modern designs of foundations for machines and their calculation: 2nd ed. revised and enlarged)/ L.: Stroyizdat. 200 pp. [in Russian].
Sannykov A.A. Puti snizheniya kolebanyy lesopylnogo oborudovaniya (Ways to reduce vibrations in sawmill equipment). M.: Lesn. prom-st. 160 pp. [in Russian].
Metodologicheskye rekomendacyy po dynamycheskomu raschotu stanyn i fundamentov lesopylnyh ram (Methodological recommendations for the dynamic calculation of the beds and foundations of frame saws). Moscow: Ministry of Forestry of the USSR, 1981. 57pp. [in Russian].
Svidoctvo pro reestraciu avtorskogo prava na tvir №41142 Komputerna programa “Doslidzhennia dynamichnyh harakterystyk gruntovoi osnovy pid fundament (“Fund”): Derzhavna sluzhba intelektualnoi vlasnosti Ukrainy (Certificate of copyright registration for a work No. 41142 computer program " Investigation of dynamic characteristics of the soil base under the foundation" ("Fund"): State Service of Intellectual Property of Ukraine) / V. Shostak, A. Grigoriev. - Registration date: 29 November 2011 [in Ukrainian].
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
