PSI - Issue 58

Victor Rizov et al. / Procedia Structural Integrity 58 (2024) 150–156 V. Rizov / Structural Integrity Procedia 00 (2019) 000–000

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Fig. 5 shows results for damping energy obtained at varying 2 1 / s s and q T T / ratios. Increasing of these ratios induces growth of damping energy (Fig. 5). It can be generalized that increasing of the length of the frame structure members causes a rise of damping energy (refer to curves in Fig.3 and Fig. 5). 4. Conclusions The damping problem in functionally graded frame engineering structures with non-linear viscoelastic behavior is analyzed. The frames studied are under cyclic side load and varying temperature. It is found that:  the damping energy reduces with increase of Q G E E / ratio. Increasing Q G D D 1 1 / ratio also results in a reduction of damping energy;  the growth of 2 / l s and 2 1 / s s ratios generates increasing of the damped energy. There is a significant reduction of the damping energy with increasing of Q G D D 2 2 / and Q G D D 3 3 / ratios;  increase of a F causes a growth of damping energy;  increase of q T T / ratio also induces growth of damping energy. References Chikh, A., 2019. Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations. Frattura ed Integrità Strutturale 14, 115-126. Dowling, N, 2007. Mechanical Behavior of Materials. Pearson. Hao, Y.X, Chen, L.H., Zhang, W., Lei, J. G., 2002. Nonlinear oscillations and chaos of functionally graded materials plate. Journal of Sound and vibration 312, 862-892. Kou, X.Y., Parks, G.T., Tan, S.T., 2012. Optimal design of functionally graded materials, using a procedural model and particle swarm optimization. Computer Aided Design 44, 300-310. Li, Y., Feng, Z., Hao, L., Huang, L., Xin, C., Wang, Y., Bilotti, E., Essa, K., Zhang, H.m Li, Z., Yan, F., Peijs, T., 2020. A review on functionally graded materials and structures via additive manufacturing: from multi-scale design to versatile functional properties. Advanced Materials Technologies 5, 1900981. Mahamood, R.M., Akinlabi, E.T., 2017. Functionally Graded Materials. Springer. Narisawa, I., 1987. Strength of Polymer Materials. Chemistry. Rizov, V.I, Altenbach, H., 2020. Longitudinal fracture analysis of inhomogeneous beams with continuously varying sizes of the cross-section along the beam length, Frattura ed Integrità Strutturale 53, 38-50. Rizov, V.I., 2017. Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity. Frattura ed Integrità Strutturale 41, 498-510. Rizov, V.I., 2020. Analysis of Two Lengthwise Cracks in a Viscoelastic Inhomogeneous Beam Structure, Engineering Transactions 68, 397–415. Saidi, H., Sahla, M., 2019. Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium. Frattura ed Integrità Strutturale 13, 286-299. Saiyathibrahim, A., Subramaniyan, R., Dhanapl, P., 2016. Centrfugally cast functionally graded materials – review. International Conference on Systems, Science, Control, Communications, Engineering and Technology, 68-73.