Purpose The structure having negative Poisson’s ratio (NPR) is termed as auxetic structures which is mainly used for energy absorption that is a crucial parameter to prevent structures under loading. The new auxetic sandwich nanocomposite with a core of carbon nanotube-reinforced polymer composite having negative Poisson’s ratio (CNTRC-NPR) has been proposed for energy absorption. The present work aims to obtain the nonlinear vibration behaviours of the proposed auxetic sandwich nanocomposite structures for studying the energy absorption and dissipation capacities. Method Based on the classically laminated theory (CLT), a particular staking sequence of composite laminate has been achieved to obtain negative Poisson’s ratio of sandwich nanocomposite laminate. The present formulation for nonlinear vibration analysis of such auxetic structures is based on the Reddy’s third-order shear deformation theory and von-Karman nonlinear strain–displacement relations. The governing equations of motion of such auxetic structures are derived using the Hamilton’s principle. The obtained governing coupled nonlinear partial differential equations are converted to an ordinary nonlinear differential equation using the Galerkin’s method for the analysis of the out-plane displacement. Results The present work addresses an in-depth study of various responses of nonlinear vibrations by obtaining time series responses, Poincaré maps, bifurcation diagrams, frequency responses and load–deflection curves. The effective out of plane NPR has been determined and analysed for different auxetic sandwich nanocomposite laminates. The jump-up ad jump-down phenomenon associated with the dynamics of such auxetic structures have been determined and discussed. The energy absorption and dissipation capacities of such auxetic structures have been determined from the obtained load–deflection curves. Conclusion From the nonlinear vibration analysis, it is found that the auxetic sandwich structure is more flexible but produces less deflection than that of non-auxetic structures. It can be concluded from the bifurcation diagrams analyses that the period to chaotic vibration in the auxetic sandwich nanocomposite structures may occur for the variation of the amplitude of excitation. It is also observed that the auxetic sandwich nanocomposite structure has more energy-absorbing and dissipation capacity compared to the non-auxetic sandwich nanocomposite structures.

Nonlinear Vibration And Energy Absorption Responses of Auxetic Sandwich Nanocomposite Structures

期刊论文
发表日期：

2025年1月28日

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Jagannath Debasis Parhi,
Tarapada Roy

摘要

Purpose

The structure having negative Poisson’s ratio (NPR) is termed as auxetic structures which is mainly used for energy absorption that is a crucial parameter to prevent structures under loading. The new auxetic sandwich nanocomposite with a core of carbon nanotube-reinforced polymer composite having negative Poisson’s ratio (CNTRC-NPR) has been proposed for energy absorption. The present work aims to obtain the nonlinear vibration behaviours of the proposed auxetic sandwich nanocomposite structures for studying the energy absorption and dissipation capacities.

Method

Based on the classically laminated theory (CLT), a particular staking sequence of composite laminate has been achieved to obtain negative Poisson’s ratio of sandwich nanocomposite laminate. The present formulation for nonlinear vibration analysis of such auxetic structures is based on the Reddy’s third-order shear deformation theory and von-Karman nonlinear strain–displacement relations. The governing equations of motion of such auxetic structures are derived using the Hamilton’s principle. The obtained governing coupled nonlinear partial differential equations are converted to an ordinary nonlinear differential equation using the Galerkin’s method for the analysis of the out-plane displacement.

Results

The present work addresses an in-depth study of various responses of nonlinear vibrations by obtaining time series responses, Poincaré maps, bifurcation diagrams, frequency responses and load–deflection curves. The effective out of plane NPR has been determined and analysed for different auxetic sandwich nanocomposite laminates. The jump-up ad jump-down phenomenon associated with the dynamics of such auxetic structures have been determined and discussed. The energy absorption and dissipation capacities of such auxetic structures have been determined from the obtained load–deflection curves.

Conclusion

From the nonlinear vibration analysis, it is found that the auxetic sandwich structure is more flexible but produces less deflection than that of non-auxetic structures. It can be concluded from the bifurcation diagrams analyses that the period to chaotic vibration in the auxetic sandwich nanocomposite structures may occur for the variation of the amplitude of excitation. It is also observed that the auxetic sandwich nanocomposite structure has more energy-absorbing and dissipation capacity compared to the non-auxetic sandwich nanocomposite structures.