Lagrange’s Formulation for the Vibration Analysis of the Structures using Mycelium Composite
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Abstract
The spectacular development of the use of mycelium composites in real-world applications has led to an increase in research into the properties of these materials and their behavior in different situations encountered in practice. An important direction of study is the response of structures in the manufacture of which such composites are developed to support mechanical loads. The use of mycelium composites in different applications was initially due to their ecological advantages, ease of obtaining them, and low price. As the complexity of applications has increased, the need to have appropriate models for the study of their behavior under complex mechanical loads has also increased. The present work aims to develop a model based on the Lagrangian description of the mechanical system in which the composite is incorporated in order to obtain the equations of motion of such a system in a finite element formulation. In this way, results can be obtained regarding the vibrations that the analyzed structure may have.
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