Homogenization and Frequency Analysis
123
The analytical and numerical analysis of the effect of fiber orientation to the global coordinate system on the fundamental frequency, taking in to account the variable thickness
and length was shown graphically form.
From the results obtained by the presented work can be concluded, that sandwich design parameters affect the natural frequencies of sandwich panel and this effect
has been taken into consideration for designing of sandwich panels. The investigated
sandwich panels are not sensitive to dynamic wind, seismic and transport load.
Acknowledgment. This work was supported by the Scientific Grant Agency of the Ministry
of Education of Slovak Republic and the Slovak Academy of Sciences under Project VEGA
1/0374/19.
References
1. Altenbach, H., Altenbach, J., Kissing, W.: Mechanics of Composite Structural Elements.
Springer - Verlag, Berlin (2004)
2. Luciano, R., Barbero, E.J.: Formulas for the stiffness of composites with periodic microstructure. Int. J. Solids Struct. 31(21), 2933–2944 (1994)
3. Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis,
2nd edn. CRC Press, Florida (2004)
4. Carrera, E., Pagani, A., Valvano, S.: Multilayered plate elements accounting for refined
theories and node-dependent kinematics. Compos Part B 114, 189–210 (2017)
5. Murˇ cinková, Z., Novák, P., Kompiš, V., Žmindák, M.: Homogenization of the finite-length
fibre composite materials by boundary meshless type method. Arch. Appl. Mech. 88(5),
789–804 (2018)
6. Vorel, J., Urbanová, S., Grippon, E., Jandejsek, I., Maršálková, M., Šejnoha, M.: Multi-scale
modeling of textile reinforced ceramic composites. Ceramic Eng. Sci. Proc. 34(10), 233–245
(2014)
7. Sladek, J., Novak, P., Bishay, P.L., Sladek, V.: Effective properties of cement-based porous
piezoelectric ceramic composites. Const. Build. Mat. 190, 1208–1214 (2018)
8. Brischetto, S.: Convergence analysis of the exponential matrix method for the solution of
3D equilibrium equations for free vibration analysis of plates and shells. Compos Part B 98,
453–471 (2016)
9. Yhang, L.W., Xiao, L.N.: Mechanical behavior of laminated CNT-reinforced composite skew
plates subjected to dynamic loading. Compos Part B 122, 219–230 (2017)
10. Chandrashekara, C.V., Suswaram, P.E., Dharani, J., Agarwal, H., Raj Arjun, S.I.: Formulation
of effective stiffness for predicting natural frequency of cracked beams. Vibroengineering
Procedia 19, 135–140 (2018)
11. Piovar S., Kormanikova E.: Statical and dynamical analysis of composite sandwich plates.
Bulletin of the Transilvania University of Bra¸ sov Series I: Engineering Sciences, 4(53) No.
1, 177–184 (2011)
12. Kormaníková, E., Kotrasová, K.: Resonant frequencies and mode shapes of rectangular
sandwich plate. Chem. Listy 105(16), 535–538 (2011)
13. Chen, W., Meng, Q., Hao, H., Ciu, J., Shi, Y.: Quasi-static and dynamic tensile properties of
fiberglass/epoxy laminate sheet. Constr. Build. Mat. 143, 247–259 (2017)
123
The analytical and numerical analysis of the effect of fiber orientation to the global coordinate system on the fundamental frequency, taking in to account the variable thickness
and length was shown graphically form.
From the results obtained by the presented work can be concluded, that sandwich design parameters affect the natural frequencies of sandwich panel and this effect
has been taken into consideration for designing of sandwich panels. The investigated
sandwich panels are not sensitive to dynamic wind, seismic and transport load.
Acknowledgment. This work was supported by the Scientific Grant Agency of the Ministry
of Education of Slovak Republic and the Slovak Academy of Sciences under Project VEGA
1/0374/19.
References
1. Altenbach, H., Altenbach, J., Kissing, W.: Mechanics of Composite Structural Elements.
Springer - Verlag, Berlin (2004)
2. Luciano, R., Barbero, E.J.: Formulas for the stiffness of composites with periodic microstructure. Int. J. Solids Struct. 31(21), 2933–2944 (1994)
3. Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis,
2nd edn. CRC Press, Florida (2004)
4. Carrera, E., Pagani, A., Valvano, S.: Multilayered plate elements accounting for refined
theories and node-dependent kinematics. Compos Part B 114, 189–210 (2017)
5. Murˇ cinková, Z., Novák, P., Kompiš, V., Žmindák, M.: Homogenization of the finite-length
fibre composite materials by boundary meshless type method. Arch. Appl. Mech. 88(5),
789–804 (2018)
6. Vorel, J., Urbanová, S., Grippon, E., Jandejsek, I., Maršálková, M., Šejnoha, M.: Multi-scale
modeling of textile reinforced ceramic composites. Ceramic Eng. Sci. Proc. 34(10), 233–245
(2014)
7. Sladek, J., Novak, P., Bishay, P.L., Sladek, V.: Effective properties of cement-based porous
piezoelectric ceramic composites. Const. Build. Mat. 190, 1208–1214 (2018)
8. Brischetto, S.: Convergence analysis of the exponential matrix method for the solution of
3D equilibrium equations for free vibration analysis of plates and shells. Compos Part B 98,
453–471 (2016)
9. Yhang, L.W., Xiao, L.N.: Mechanical behavior of laminated CNT-reinforced composite skew
plates subjected to dynamic loading. Compos Part B 122, 219–230 (2017)
10. Chandrashekara, C.V., Suswaram, P.E., Dharani, J., Agarwal, H., Raj Arjun, S.I.: Formulation
of effective stiffness for predicting natural frequency of cracked beams. Vibroengineering
Procedia 19, 135–140 (2018)
11. Piovar S., Kormanikova E.: Statical and dynamical analysis of composite sandwich plates.
Bulletin of the Transilvania University of Bra¸ sov Series I: Engineering Sciences, 4(53) No.
1, 177–184 (2011)
12. Kormaníková, E., Kotrasová, K.: Resonant frequencies and mode shapes of rectangular
sandwich plate. Chem. Listy 105(16), 535–538 (2011)
13. Chen, W., Meng, Q., Hao, H., Ciu, J., Shi, Y.: Quasi-static and dynamic tensile properties of
fiberglass/epoxy laminate sheet. Constr. Build. Mat. 143, 247–259 (2017)