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Vibration And Noise / Vibrasie en geraas - 354

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Calculate the continuous day/night noise rating level, L subscript R comma d n end subscript, for the measurements in the Table below. Provide your answer in dB(A) and use 1 decimal place.

Bepaal die ekwivalente dag-nag geraasvlakpeil, L subscript R comma d n end subscript, vir die metings in die Tabel hieronder. Jou antwoord moet in dB(A) gegee word. Gebruik 1 desimaal.

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A worker rotates through five working stations throughout his normal 8 hr work day as shown in the table below. Calculate the 8 h continuous rating level, L subscript R e q comma 8 h end subscript, for the worker over his typical working day.

'n Werker roteer deur vyf werkstasies in 'n normale 8-ure werksdag soos aangetoon in die tabel hier onder. Bereken die 8 h kontinue klankdrukpeil, L subscript R e q comma 8 h end subscript,  vir 'n tipiese werksdag.

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At the fourth station the worker from Question 5 is situated 1.5 m from the point noise source. To reduce his total 8 hr noise exposure level to below 85 dB(A), what is the minimum distance away from the point source that he should be situated to complete his work?

By die vierde stasie voer die arbeider van Vraag 5 sy werk 1.5 m vanaf die puntgeraasbron uit. Indien sy 8 hr geraasblootstelling tot laer as 85 dB(A) beperk moet word, wat is die minimum afstand tussen die werkstasie en die puntbron?

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English

A floating tension leg platform offshore wind turbine is shown in the figure. The mooring lines are under tension due to the buoyancy force acting on the platform. Wave action and ocean currents cause vibration in the mooring lines. Neglect damping and assume that the transverse deflection, w, of a mooring line can be described by the string equation.

Select all the true statements relating to the string equation (negative marks for incorrect answers - do not guess).

 

Afrikaans

Die figuur toon 'n drywende windturbine wat in die see geanker word. Daar is trekkragte in die anker kabels agv die dryfbaarheid van die platform. Golwe en seestrome veroorsaak vibrasie in die kabels. Ignoreer demping en aanvaar dat die tranversale verplasing,

Image failed to load: w
, van 'n kabel beskryf kan word deur die snaarvergelyking

Kies al die korrekte stellings wat verband hou met die snaarvergelyking (negatiewe punte vir verkeerde antwoorde - moenie raai nie).

 

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English

Assume (again) w(0,t) = w(L,t) = 0. Choose all possible mode shapes of a mooring line from the choices (A) - (H) below (negative marks for incorrect answers - do not guess).

 

Afrikaans

Aanvaar (weerheens) w(0,t) = w(L,t) = 0. Kies alle moontlike modusvorme van 'n kabel uit die keuses (A) - (H) hieronder (negatiewe punte vir verkeerde antwoorde - moenie raai nie).

 

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(b) Assume that your answer for (a) was omega subscript n equals 0.8 rad/s.  Given that the absorber has a stiffness of k subscript a, determine the unknown mass m subscript a of the absorber in kg, such that the natural frequency of the bridge is absorbed by the mass. / Aanvaar dat jou antwoord vir (a) was omega subscript n equals 0.8 rad/s. Gegewe dat die vibrasie absorbeerder ’n styfheid het van k subscript a, bepaal die onbekende massa m subscript a van die absorbeerder in kg sodat die natuurlike frekwensie van die brug deur die massa geabsorbeer word.

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(a)

 Figure / Figuur (a)

Figure / Figuur (b)

In structures such as bridges, undesirable vibration is often suppressed through the use of vibration absorbers.  Consider a bridge section, which has been simplified to a single-degree-of-freedom model. The bridge is modelled as a lumped mass, which is supported by elastic beam sections between two pillars as shown in Figure (a). Wind excitation, F left parenthesis t right parenthesis equals F subscript 0 sin left parenthesis omega t right parenthesis, causes the bridge to be excited at its natural frequency.  Your task is to design a vibration absorber, as shown in Figure (b).  Note that all damping can be assumed to be negligible. 

/ 

In strukture soos brûe word ongewenste vibrasies dikwels onderdruk deur die gebruik van vibrasie-absorbeerders. Oorweeg ’n brugseksie, wat as ’n enkelvryheidsgraadstelsel vereenvoudig is. Die brug kan gemodelleer word as ’n puntmassa, mb, wat deur elastiese balkseksies tussen twee pilare ondersteun word soos in Figuur (a) getoon.  Die windopwekking oefen ’n harmoniese krag op die brugmassa uit, F left parenthesis t right parenthesis equals F subscript 0 sin left parenthesis omega t right parenthesis en veroorsaak dat die natuurlike frekwensie van die brug opgewek word. U taak is om ’n vibrasieabsorbeerder te ontwerp, soos aangedui in Figuur (b). Neem aan dat demping weglaatbaar is.

The following parameters are given / Die volgende parameters is gegewe:

  • m subscript b equals 40 tons
  • l equals 50 m
  • E I equals 75 cross times 10 to the power of 6 N.m2
  • k subscript a equals1800 N/m

(a) Determine the natural frequency of the bridge as modelled in Figure (a) in rad/s.  Note that the maximum static deflection of the bridge mass is provided by Equation 1: / Bepaal die natuurlike frekwensie van die brug soos gemodelleer deur die enkelvryheidsgraadmodel in Figuur (a)  in rad/s. Let daarop dat die maksimum statiese defleksie van die brugmassa deur Vergelyking 1 verskaf word:

delta equals 1 over 48 fraction numerator F subscript g space l cubed over denominator E I end fraction                                                                                                                      (1)

Where F subscript g represents the gravitational force on the mass. / Waar F subscript g verteenwoordig die gravitasiekrag op die massa.

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(e) When would you choose to use a vibration absorber instead of designing a vibration isolater? There may be more than one correct answer. / Wanneer sal jy kies om 'n vibrasie-absorbeerder te gebruik in plaas van om 'n vibrasie-isolator te ontwerp? Daar kan meer as een korrekte antwoord wees.

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(c) Assume that the absorber mass is 2500 kg. As part of the design, you need to insure that the total deflection of the system is within an acceptable range.  What is the total static deflection of the absorber mass? / Aanvaar dat die absorbermassa 2500 kg is. As deel van die ontwerp moet jy verseker dat die totale defleksie van die stelsel aanvaarbaar is. Wat is die totale statiese defleksie van die absorbeerdermassa?

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(d) What effect does damping have on the absorber?  Select the correct option/s below.  There may be more than one correct answer. / Watter effek het demping op die absorbeerder? Kies die korrekte opsie/s hieronder. Daar kan meer as een korrekte antwoord wees.

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