First Steps Towards Structural Utilisation of the Lattice-Structured Cantilever Beam: System Identification, Modal and Static Structural Analysis

Abstract

Materials with lattice structure have been used in many engineering fields. However, studies including dynamic and static analysis of lattice structured beams are not common in literature. In this study, three types of cantilever beams with lattice structure were designed as 3 Dimensionally in nTopology software and analyzed in Ansys software. Square rotated, hexagonal and triangular type lattice structures were used in design of the beams. 10 Kilonewton force were applied to each beam and the displacements that were occurred at the free end side of the beams were recorded. Discrete time transfer function models, discrete time state space models and nonlinear Autoregressive with Extra Input models were obtained using input and output data set belongs to vibration of the beams. System Identification Toolbox of MATLAB was used to obtain the models. In addition, modal analysis and static analysis of the beams were realized. The results belong to system identification, modal analysis and static analysis were illustrated in figures, presented in tabular form and were discussed. After the non-lattice beam, the lowest specific deformation occurred in the triangular lattice beam. Therefore, the triangular lattice structure gave promising results for structural elements in pure bending state.

Keywords

• Cantilever beam
• System Identification
• Modal analysis
• Static Structural Analysis
• Vibration Model
• Lattice structures

Kafes Yapılı Konsol Kirişin Yapısal Kullanımına Yönelik İlk Adımlar: System Identification, Modal ve Yapısal Analiz

Öz

Kafes yapılı malzemeler birçok mühendislik alanında kullanılmaktadır. Ancak kafes yapılı kirişlerin dinamik ve statik analizini içeren çalışmalar literatürde yaygın değildir. Bu çalışmada kafes yapısına sahip üç tip konsol kiriş nTopology programında 3 boyutlu olarak tasarlanıp Ansys yazılımında analizleri yapılmıştır. Kirişlerin tasarımında kare döndürülmüş, altıgen ve üçgen tipi kafes yapıları kullanılmıştır. Her bir kirişe 10 Kilonewton kuvvet uygulanarak kirişlerin serbest uç kısmında meydana gelen yer değiştirmeler kaydedilmiştir. Kirişlerin titreşimine ait giriş ve çıkış veri seti kullanılarak ayrık zaman transfer fonksiyonu modelleri, ayrık zaman durum uzayı modelleri ve doğrusal olmayan Ekstra Girişli Otoregresif modeller elde edildi. Modellerin elde edilmesi için MATLAB'ın Sistem Tanımlama Araç Kutusu kullanıldı. Ayrıca kirişlerin modal analizi ve statik analizi gerçekleştirilmiştir. Sistem tanımlama, modal analiz ve statik analize ait sonuçlar şekiller halinde gösterilmiş, tablolar halinde sunulmuş ve tartışılmıştır. Kafes olmayan kirişten sonra en düşük spesifik deformasyon üçgen kafes kirişte meydana geldi. Bu nedenle üçgen kafes yapısı, saf eğilme durumundaki yapı elemanları için umut verici sonuçlar verdi.

Anahtar Kelimeler

• Ankastre Kiriş
• Sistem Tanımlama
• Modal Analiz
• Statik Yapısal Analiz
• Titreşim Modeli
• Kafes Yapılar

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