Study on vibration characteristics of sandwich beam with BCC lattice core

• Published in: Materials science & engineering. B, Solid-state materials for advanced technology Solid-state materials for advanced technology, 2021-02, Vol.264, p.114986, Article 114986
• Main Authors: Kohsaka, Kyohei, Ushijima, Kuniharu, Cantwell, Wesley J.
• Format: Article
• Language: English
• Subjects: Additive manufacturing; Aircraft structures; Aircraft vibration; Beams (structural); Diameters; Finite element method; Mathematical analysis; Natural frequency; Partial differential equations; Resonant frequencies; Sandwich lattice beam; Sandwich panels; Sandwich structures; Shear modulus; Transverse shear; Vibration control; Vibration response
• ISSN: 0921-5107; 1873-4944
• DOI: 10.1016/j.mseb.2020.114986

[Display omitted] •In this study, a new theoretical approach for predicting the equivalent shear modulus GC* of the lattice core has also been proposed. The analytical prediction of the natural vibration frequency, accounting for the transverse shear effects, agrees well with the FE results.•Also, plots of the variation of the first-order natural frequency f1 with strut diameters exhibit a convex shape, suggesting that there is a maximum value of the frequency f1 for a given facesheet thickness tf.•A designer can predict the maximum of 1st natural frequency of lattice sandwich beam. In this study, the vibration characteristics of a sandwich lattice beam have been studied using an analytical approach and finite element(FE) analyses. In the analytical approach, a sixth-order partial differential equation for expressing the motion in terms of the transverse displacement has been solved, which is assumed that the sandwich core is deformed mainly by the shear load. Here, a new theoretical approach for predicting the equivalent shear modulus GC∗ of the lattice core is proposed. The analytical prediction of the natural frequency, accounting for transverse shear, agrees well with the FE results. Also, the vibration response of the first-order natural frequency f1 exhibits a upwardly convex curve as the strut diameter increases, suggesting that there is a maximum value of the frequency f1 for a given facesheet thickness tf. Moreover, it is observed that the maximum frequency of the sandwich lattice beam is always greater than that for a continuum beam, which ensures the effectiveness of the lattice core in enhancing the vibration response. Therefore, vibration suppression in aircraft structures can be achieved by introducing lattice sandwich panels.