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... 1 Reliability of Technical Systems Tutorial # 3 Due : October 12, 2010 1. Consider the probability ... density function.    ≥ = − otherwise te tf t 0 0 002.0 )( 002.0 for t is in hours Calculate reliability ... 1 Reliability of Technical Systems Tutorial # 3 Due : October 12, 2010 1. Consider the probability ... 1 ... 1 ...

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... 1 Reliability of Technical Systems Tutorial # 3 Solution 1. Consider the probability density ... = 1/1.28×10−4= 7812.5 hours MTTFs= MTTFc/4=1953.125 hours 3. A space vehicle requires three out four ... 1 Reliability of Technical Systems Tutorial # 3 Solution 1. Consider the probability density ... = 1/1.28×10−4= 7812.5 hours MTTFs= MTTFc/4=1953.125 hours 3. A space vehicle requires three out four ... 1 ...

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... Lecture # 3 – Fall 2015 7 D. Mohr 151-0735: Dynamic behavior of materials and structures -2 - 1 0 1 2 -2 - 1 ... function of frequency n 3. Compute strain history at location B     N n nnnnB ttnbttna a t 1 0 ... Lecture # 3 – Fall 2015 7 D. Mohr 151-0735: Dynamic behavior of materials and structures -2 - 1 0 1 2 -2 - 1 ... function of frequency n 3. Compute strain history at location B     N n nnnnB ttnbttna a t 1 0 ... Slide 1 ...

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... + 02 2.00E+ 02 2.50E+ 02 3.00E+ 02 3.50E+ 02 4.00E+ 02 SV kkk   ) 1( Swift Voce Qkk d dk p  0 , 0 ... equivalent stress: SSσ : 2 3 ][   with the deviatoric stress tensor 1 σ σσS 3 ][ ][ tr dev  Note that ... + 02 2.00E+ 02 2.50E+ 02 3.00E+ 02 3.50E+ 02 4.00E+ 02 SV kkk   ) 1( Swift Voce Qkk d dk p  0 , 0 ... equivalent stress: SSσ : 2 3 ][   with the deviatoric stress tensor 1 σ σσS 3 ][ ][ tr dev  Note that ... Slide 1 ...

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... . Compilation for (int i= 0; i0 outbuf[j] = inbuf[j*2] outbuf[j+ 1] = inbuf[(j+ 1)*2] inbuf += 3 ... ) { outbuf[ 0] = inbuf[ 0] outbuf[ 1] = inbuf[2] outbuf[2] = inbuf[4] outbuf[ 3] = inbuf[6] inbuf += 24 outbuf ... . Compilation for (int i= 0; i0 outbuf[j] = inbuf[j*2] outbuf[j+ 1] = inbuf[(j+ 1)*2] inbuf += 3 ... ) { outbuf[ 0] = inbuf[ 0] outbuf[ 1] = inbuf[2] outbuf[2] = inbuf[4] outbuf[ 3] = inbuf[6] inbuf += 24 outbuf ... Slide 1 ...

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... invariant: ):( 212 1 2 σσ= IIsecond invariant: ]det[ 3 σ=Ithird invariant: with 2 23 2 13 2 13 2 33 2 22 2 ... -called logarithmic strain tensor or Hencky strain tensor:  = == 3 1 )](ln[ln i iiiH uuUε  Its ... invariant: ):( 212 1 2 σσ= IIsecond invariant: ]det[ 3 σ=Ithird invariant: with 2 23 2 13 2 13 2 33 2 22 2 ... -called logarithmic strain tensor or Hencky strain tensor:  = == 3 1 )](ln[ln i iiiH uuUε  Its ... Slide 1 ...

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... ; 0 0 11 01 xx ){01( ; 0 1 10 00 p nxwhile xx } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx T ... } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx ){01( ; 0 1 10 00 p nxwhile xx } ; 0 0 01 01 xx ; 0 0 10 ... ; 0 0 11 01 xx ){01( ; 0 1 10 00 p nxwhile xx } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx T ... } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx ){01( ; 0 1 10 00 p nxwhile xx } ; 0 0 01 01 xx ; 0 0 10 ... Slide 1 ...

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... spcl.inf.ethz.ch @spcl_eth 16 I = { 0 2 , 1 2 , 2 2 , 3 2 , 4 2 , 5 2 , 6 2 } J = {0,1,2} n = 5 ✔ ✔ Sweep3D ✖ MILC ... ; 0 0 11 01 xx ){01( ; 0 1 10 00 p nxwhile xx } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx T ... spcl.inf.ethz.ch @spcl_eth 16 I = { 0 2 , 1 2 , 2 2 , 3 2 , 4 2 , 5 2 , 6 2 } J = {0,1,2} n = 5 ✔ ✔ Sweep3D ✖ MILC ... ; 0 0 11 01 xx ){01( ; 0 1 10 00 p nxwhile xx } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx T ... Slide 1 ...

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... ; 0 0 11 01 xx ){01( ; 0 1 10 00 p nxwhile xx } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx T ... } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx ){01( ; 0 1 10 00 p nxwhile xx } ; 0 0 01 01 xx ; 0 0 10 ... ; 0 0 11 01 xx ){01( ; 0 1 10 00 p nxwhile xx } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx T ... } ){10( ; 0 0 01 01 mxwhile xx ; 0 0 10 02 } xx ){01( ; 0 1 10 00 p nxwhile xx } ; 0 0 01 01 xx ; 0 0 10 ... Slide 1 ...

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... = { 0 2 , 1 2 , 2 2 , 3 2 , 4 2 , 5 2 , 6 2 } J = {0,1,2} n = 5 ✔✔ Sweep3D ✖ MILC ✔ HOMME ✔ XNS ...               ; 0 0 10 02 }              xx   ){01( ; 0 1 10 00 p nxwhile xx ... = { 0 2 , 1 2 , 2 2 , 3 2 , 4 2 , 5 2 , 6 2 } J = {0,1,2} n = 5 ✔✔ Sweep3D ✖ MILC ✔ HOMME ✔ XNS ...               ; 0 0 10 02 }              xx   ){01( ; 0 1 10 00 p nxwhile xx ... Slide 1 ...

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