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## AEROELASTICITY AND STRUCTURAL VIBRATIONS

by: Hugh Wilkinson

25

0

5

# AEROELASTICITY AND STRUCTURAL VIBRATIONS MANE 4900

Hugh Wilkinson
RPI
GPA 3.56

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COURSE
PROF.
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Class Notes
PAGES
5
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KARMA
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## Popular in Mechanical and Aerospace Engineering

This 5 page Class Notes was uploaded by Hugh Wilkinson on Monday October 19, 2015. The Class Notes belongs to MANE 4900 at Rensselaer Polytechnic Institute taught by Assad Oberai in Fall. Since its upload, it has received 25 views. For similar materials see /class/224912/mane-4900-rensselaer-polytechnic-institute in Mechanical and Aerospace Engineering at Rensselaer Polytechnic Institute.

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Date Created: 10/19/15
January 16 2009 MANE 4900 Aeroelasticity and Structural Vibrations Spring Semester 2009 Homework 1 Due January 23 2009 Please read Chapter 1 211 and 212 in Hodges and Pierce book Mass spring damper system A vehicle for landing on the moon has a mass m 4500 kg The damped springundercalriage system of the vehicle has a stiffness of k 450 kNm and a damping ratio of g 02 The rocket lift engines are cut off when the vehicle is at an altitude of 10 m Assume that the system behaves like a massspringdamper system inverted up side down to the one shown in class Assume the gravitational acceleration on the moon is 16 msz i Solve of the de ection yt of the undercarriage system when the vehicle impacts the surface ii Plot the de ection y iii Calculate the maximum de ection of the undercarriage system when the vehicle impacts the surface String Dynamics Please solve problem 21 in Hodges and Pierce book Orthogonalin is defined in Eq 235 page 13 use m1 Comment Problem 22 will be assigned in HW 2 Plyquot I 393 39 39A 139 D a 30 SOL AWUU 5 I M A we 7 324 00 L Y quot 7 MLA3 L www q 5 L J 17 lo 1 m r h a VoIWCH 39 l fg I 39 2 o 1 I 39 H 1 hm ww my CY 4 Q3T r7 3 H f xmry t Wacor3 5 C EL C I a EU 77 Ff 58 quot L AKRON f k 3 TN 11 i a M Mi t 43 Mt s 71 0wo rnrvw 3 acumen y is THE PAR WCMLAK SaLLLWOI 41 3 24 a tz o fcof EggMatquot 2 4 1727 O 77317 1 72 41 Erma Q 346 m K Oa m Mama 39MIT39IAL CombT7303 fwd Aaacoso 25605 oo 7 A OG Ut O5ltgtlt tCos w quotCaged 6m Cot Eolt mt 5m age at 9950063 U o5 657 s oColt 13 7 E gem mew 5 57Ll ya 0 2t 777 74lt 2651lt177 gt O SEE Fblut omrr95 quot 7 LL amp0 5 43 3 my re on 7310 MANE 4900 MANE4900 Homework 1 Problem 1 LANDERPLOT plots the deflection of the lander 2 10sqrt1 2A2 016 574 alpha omega A B t 0015 y Aexp alphatcosomegat Bexp alphatsinomegat 016 plotty title Plot of deflection ylabel Deflection y m xlabel Time t seconds Homework Solutions De ection y m 1 HWl Plot of de edion 04 03 02 01 01 02 X016 YZO4EB r r r r r 15 2 25 3 35 4 45 5 Tlmet seconds MADE 7Z MEQOKK Sagu UO JS m 20 100 5 v A wME m liOO Smt vxgt gt25Jlt7A3 EIINJ7I X quot 1 18 l quotVi393 651775 1 yk alkcA f39 a H L quot 4 39 I p 5mLIEL 5H J7 gt AK 4 g TL39gtTT 7 f i A I I X a x U E 1 i 37 I l I I 210 43 2744H 3 f gff quot 73231 M SINCE 753 A ti AMP LN chchr m 000 ZERZO rdragst quotmmvb 3074 snug TED M8 Ta 3 muauws 22720 quotJ 7 Inf 6rLIL39T Kgt5nl 3TTJ 70 of I l k W to L39J 2 4quot 11 SO ZKZW39X Ogtlt 1 X i Sln fit57V I r LEW 27 jo I Lcvr 7 WI 7 5mm CL 5 A pm 2320 IDTEGE K TL Snug 39 173 3 m cont9 grit go 1 I A 7 Fr 1 J 5W 5quot Srnv QT rx L 7amp0 om La a 1 J K J 2 u 5m n f5 oTZ1 0ArJRL 0 mu o gga sxn 39r v 771 7 Ti39nxi n gt I 2 MAroE M5wOKK SOLafcm quotTA02V 200425 jg 4214 Tc22 i j l VINO 03Cc sib LCOSCa39bgt CQSG 3 a 1 7quot p 39x m 39 lg OSltL X 65 Ax 5 gt 5M U Lk j a 12 J 2 71CL39139 2GJ C 5AME Vane AS A3009 Fora L X A 1 I cos L X 4quot 39 a A L AKATT T 39T00rquot A ATOVE For 40 j 4 V w o 13 13 22 v09 Z r 93 4 4 r d LEA5 5g ATTQCHED MAT L43 woRK 1 E Pl SHwa WE m ITAL srm E 45 DARK B LAC Ilt DOTS 139 5735 w at g 115 0 LI 3 3 L Ac a UN 5 15 V quot3 2 391 39quot Lb mm 5 in A quot quotVDn FL pg 4 7 5 r

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