Print Email Facebook Twitter The emergence of dissipation dilution Title The emergence of dissipation dilution: in doubly clamped nanomechanical resonators Author van der Zalm, Joost (TU Delft Applied Sciences; TU Delft QN/Steele Lab) Contributor Steele, Gary (mentor) Steeneken, Peter (mentor) Degree granting institution Delft University of Technology Programme Applied Physics Date 2019-07-22 Abstract The goal of the research described in this thesis was to investigate the basis of dissipation dilution as well as make it comprehensible. In the written literature we could find that the kinetic energy of an oscillating beam is stored into two types of potential energy~\cite{Kippenberg, Kotthaus}. A dissipative bending component and a conservative component due to elongation.After this the different types of damping were introduced. Of which structural damping was most important, it is experimentally found to be approximately constant for many materials over a large band of frequencies. The loss tangent and quality factor for this type of damping are both constant. The physical origin of this behaviour isn't really understood. But there have been ideas hinted that it is due to surface imperfections~\cite{Kippenberg}.To simulate dissipation dilution a spring system has been developed. In this system part of the energy is stored in torsion springs and another part in elongation springs. From this model it is observed that the effective spring constant of the total system depends on the initial strain. At low amounts of strain the spring constant is similar to that of torsion springs while at higher strains it becomes more like the elongation spring model. The quality factor of the beam is found to increase linearly with the strain. Subject nanomechanicalnanomechanicalresonatorresonatorsdissipation dilutiondoublyclampedquality factorloss tangentloss angledampingstructural dampingtorsionelongationstretchingtransverse motionmassspringspringsmodelbeamEuler BernoulliEuler Bernoulli BeamDeformationStressStrainEngineeringspring constant To reference this document use: http://resolver.tudelft.nl/uuid:8696496e-b77e-43b0-bfce-4f3341ac18cb Part of collection Student theses Document type bachelor thesis Rights © 2019 Joost van der Zalm Files PDF report.pdf 2.59 MB Close viewer /islandora/object/uuid:8696496e-b77e-43b0-bfce-4f3341ac18cb/datastream/OBJ/view