FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W816282007> ?p ?o ?g. }

• W816282007 abstract "Oscillating systems that produce noise at a frequency of excitation may have as an abatement solution the increase of the frequency of excitation to above the audible frequency limit, viz. 20kHz. This approach may not be possible for systems subject to non-linear behavior as subharmonics can be generated within the audible range. This paper describes the analysis of a small metal annulus over which a thin membrane is stretched. The membrane is indirectly excited via a piezoelectric transducer attached to the annulus and has an application as an appliance in the electronics sector. The generation of noise is unwanted but found to occur occasionally. The analysis confirms the non-linear behaviour of the system with sub-harmonics resulting from a non-linear interaction with a low natural frequency. An experimental technique using a 2-D Scanning Laser Vibrometer (Polytec PSV-400) allows the vibrational modes of the annulus and membrane to be measured as a function of frequency and presented graphically and demonstrates the membrane to be radiating the noise. The paper discusses with the aid of both an analytical and numerical solution to the Duffing Equation how an increase in damping will suppress the sub-harmonics. A practical damping solution is found for the design which successfully eliminates the noise without negatively effecting its performance. Figure 1a illustrates the problem case. This figure plots the sound radiated from the assembly and demonstrates significant acoustic energy at subharmonics of the excitation frequency. Figure 1b measures the membrane to be vibrating at these frequencies displaying the correlation between the vibration and the sound. The frequencies of figure 1b can be displayed as mode shapes and superimposed upon the membrane as seen in figure 2. Figure 2a shows a strong mode shape at a frequency of high acoustic amplitude demonstrating that it is the membrane that is radiating the sound. Figure 2b confirms the greatest vibration at the excitation frequency to be at the piezoelectric shaker location. The damping in the system was increased by simply wrapping a rubber band around the annulus. The results of this are to be seen in figure 3. All subharmonics are suppressed and hence the audible noise eliminated. A numerical study of the Duffing equation of equation 1 illustrates for a simple single degree of freedom system how subharmonics may be removed by increasing the damping. This simulation was achieved using Matlab and by expressing the Duffing equation in state space form as given in equations 2 and solving using Matlab’s ODE45 (Runge Kutta) function. Sample results can be seen in figure 4. This can also be established analyticaly using an approach similar to that found in Hayashi [1]. mẍ + cẋ + kx + μx = F cos(ωt) (1) ẋ(1) = x(2); ẋ(2) = F m cos(ωt) − 2ζωnx(2) − ω 2 n x(1) − μ m x(1) (2) (a) Pressure spectrum from microphone located in near field. Sound is measured at the frequency of excitation but also at sub-harmonics. (b) Averaged vibration (velocity) spectrum over membrane. Peak at excitation frequency plus subharmonics. Figure 1: Low damping set-up. Excitation frequency of 25.25kHz (a) Mode shape of membrane at 13.25kHz corresponding to a frequency of maximum acoustic output. (b) Mode shape of membrane at 25.25kHz corresponding to the frequency of excitation. Figure 2: Low damping set-up. Velocity mode shape of membrane at two distinct frequencies. (a) Pressure spectrum from microphone located in near field. Sound at sub-harmonics has been suppressed. (b) Averaged vibration (velocity) spectrum over membrane. Vibration at sub-harmonics has been damped. Figure 3: High damping set-up. Excitation frequency of 25.25kHz 0 50" @default.
• W816282007 created "2016-06-24" @default.
• W816282007 creator A5080774036 @default.
• W816282007 date "2009-01-01" @default.
• W816282007 modified "2023-09-27" @default.
• W816282007 title "Nonlinear vibro-acoustic behaviour in a circular membrane oscillator" @default.
• W816282007 cites W1997453391 @default.
• W816282007 hasPublicationYear "2009" @default.
• W816282007 type Work @default.
• W816282007 sameAs 816282007 @default.
• W816282007 citedByCount "0" @default.
• W816282007 crossrefType "journal-article" @default.
• W816282007 hasAuthorship W816282007A5080774036 @default.
• W816282007 hasConcept C115961682 @default.
• W816282007 hasConcept C119599485 @default.
• W816282007 hasConcept C120665830 @default.
• W816282007 hasConcept C121332964 @default.
• W816282007 hasConcept C127413603 @default.
• W816282007 hasConcept C134306372 @default.
• W816282007 hasConcept C150936888 @default.
• W816282007 hasConcept C154945302 @default.
• W816282007 hasConcept C158622935 @default.
• W816282007 hasConcept C159985019 @default.
• W816282007 hasConcept C165801399 @default.
• W816282007 hasConcept C188414643 @default.
• W816282007 hasConcept C19118579 @default.
• W816282007 hasConcept C192562407 @default.
• W816282007 hasConcept C198394728 @default.
• W816282007 hasConcept C24890656 @default.
• W816282007 hasConcept C33923547 @default.
• W816282007 hasConcept C41008148 @default.
• W816282007 hasConcept C520434653 @default.
• W816282007 hasConcept C62520636 @default.
• W816282007 hasConcept C78736273 @default.
• W816282007 hasConcept C927094 @default.
• W816282007 hasConcept C96199931 @default.
• W816282007 hasConcept C99498987 @default.
• W816282007 hasConceptScore W816282007C115961682 @default.
• W816282007 hasConceptScore W816282007C119599485 @default.
• W816282007 hasConceptScore W816282007C120665830 @default.
• W816282007 hasConceptScore W816282007C121332964 @default.
• W816282007 hasConceptScore W816282007C127413603 @default.
• W816282007 hasConceptScore W816282007C134306372 @default.
• W816282007 hasConceptScore W816282007C150936888 @default.
• W816282007 hasConceptScore W816282007C154945302 @default.
• W816282007 hasConceptScore W816282007C158622935 @default.
• W816282007 hasConceptScore W816282007C159985019 @default.
• W816282007 hasConceptScore W816282007C165801399 @default.
• W816282007 hasConceptScore W816282007C188414643 @default.
• W816282007 hasConceptScore W816282007C19118579 @default.
• W816282007 hasConceptScore W816282007C192562407 @default.
• W816282007 hasConceptScore W816282007C198394728 @default.
• W816282007 hasConceptScore W816282007C24890656 @default.
• W816282007 hasConceptScore W816282007C33923547 @default.
• W816282007 hasConceptScore W816282007C41008148 @default.
• W816282007 hasConceptScore W816282007C520434653 @default.
• W816282007 hasConceptScore W816282007C62520636 @default.
• W816282007 hasConceptScore W816282007C78736273 @default.
• W816282007 hasConceptScore W816282007C927094 @default.
• W816282007 hasConceptScore W816282007C96199931 @default.
• W816282007 hasConceptScore W816282007C99498987 @default.
• W816282007 hasLocation W8162820071 @default.
• W816282007 hasOpenAccess W816282007 @default.
• W816282007 hasPrimaryLocation W8162820071 @default.
• W816282007 hasRelatedWork W116109898 @default.
• W816282007 hasRelatedWork W1502278409 @default.
• W816282007 hasRelatedWork W1675675318 @default.
• W816282007 hasRelatedWork W1968737825 @default.
• W816282007 hasRelatedWork W1984474649 @default.
• W816282007 hasRelatedWork W2023703315 @default.
• W816282007 hasRelatedWork W2059541378 @default.
• W816282007 hasRelatedWork W2059770445 @default.
• W816282007 hasRelatedWork W2329985507 @default.
• W816282007 hasRelatedWork W2564489225 @default.
• W816282007 hasRelatedWork W2892512840 @default.
• W816282007 hasRelatedWork W2899629125 @default.
• W816282007 hasRelatedWork W2953385442 @default.
• W816282007 hasRelatedWork W2954393810 @default.
• W816282007 hasRelatedWork W3005601118 @default.
• W816282007 hasRelatedWork W3023244759 @default.
• W816282007 hasRelatedWork W3135282678 @default.
• W816282007 hasRelatedWork W3138965829 @default.
• W816282007 hasRelatedWork W3190724623 @default.
• W816282007 hasRelatedWork W2928906685 @default.
• W816282007 isParatext "false" @default.
• W816282007 isRetracted "false" @default.
• W816282007 magId "816282007" @default.
• W816282007 workType "article" @default.