Lightweight Periodic Vibration Isolator Design via Compliant Inertial Amplification Mechanisms with Stiffness Maximized Topologies

Abstract

As a novel innovative approach in the literature, periodic structures can be utilized as vibration isolators. In this paper, vibration isolation performance of a lightweight periodic structure is studied. The periodic structure is formed by using inertial amplification mechanisms with stiffness maximized topologies. First of all, inertial amplification concept is introduced on a lumped parameter model. Then, a compliant inertial amplification mechanism, which is the repetitive building block of the periodic structure (i.e., unit cell), is presented. Topology optimization is conducted on this mechanism to attain a stiffness maximized unit cell with reduced weight. After that, a one-dimensional periodic structure is constructed by attaching the lightweight inertial amplification unit cells with stiffness maximized topologies to each other. Finally, vibration isolation performance of the constructed periodic structure is demonstrated via transmissibility plots. It is observed that the designed topologically optimized lightweight periodic structure provides high performance vibration isolation for a wider frequency range with the same stiffness value and less weight, compared to the original structure.

Keywords

• compliance minimization
• inertial amplification
• periodic structure
• topology optimization
• vibration isolator

Direngenliğin Maksimize Edildiği Topolojilere Sahip Esnek Atalet Artırımı Mekanizmaları ile Düşük Ağırlıklı Periyodik Titreşim Yalıtıcısı Tasarımı

Abstract

Periyodik yapıların titreşim yalıtıcısı olarak kullanılması son zamanlarda literatürde karşılaşılan yenilikçi bir yaklaşımdır. Bu makalede, düşük ağırlıklı bir periyodik yapının titreşim yalıtımı performansı çalışılmıştır. Periyodik yapı, direngenliğin maksimize edildiği topolojilere sahip atalet artırımı mekanizmaları kullanılarak oluşturulmuştur. İlk olarak, atalet artırımı kavramı toplu parametreli bir model üzerinde tanıtılmıştır. Ardından, periyodik yapının tekrar eden yapı bloğu (birim hücre) olan esnek bağlantılı bir atalet artırımı mekanizması sunulmuştur. Direngenliğin maksimize edildiği düşük ağırlıklı bir birim hücre elde etmek için, bu esnek bağlantılı mekanizma üzerinde topoloji eniyilemesi gerçekleştirilmiştir. Daha sonrasında, direngenliğin maksimize edildiği topolojilere sahip bu düşük ağırlıklı atalet artırımı birim hücreleri birleştirilerek bir boyutlu periyodik bir yapı elde edilmiştir. Son olarak, titreşim iletkenliği grafikleri vasıtasıyla, oluşturulan periyodik yapının titreşim yalıtımı performansı gösterilmiştir. Tasarlanan topolojik olarak eniyilenmiş düşük ağırlıklı periyodik yapının, aynı direngenlikteki eniyileme yapılmamış orijinal yapıya nazaran, daha düşük bir ağırlık ile çok daha geniş bir bant aralığında yüksek performanslı titreşim yalıtımı sağladığı saptanmıştır.

Keywords

• esneklik minimizasyonu
• atalet artırımı
• periyodik yapı
• topoloji eniyilemesi
• titreşim yalıtıcısı

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