{"text_format":"3","workbook":"xlsx","n_sheets":5,"sheets":["Title","Nomenclature","Glancing Ship","Flat Vertical Structure","Cylindrical Structure"],"not_rendered":{"charts":9,"images":11,"macros":1,"defined_names":225},"read":"whole","date_system":"1900"}

{"sheet":"Title","index":0,"n_rows":25,"n_cols":2,"rows_kept":25}
{"$rows_empty":23}
[null,"this workbook is unverified and is"]
[null,"provided without any assurances of accuracy "]

{"sheet":"Nomenclature","index":1,"n_rows":36,"n_cols":2,"rows_kept":36}
[]
[null," Nomenclature"]
{"$rows_empty":33}
[" "]

{"sheet":"Glancing Ship","index":2,"n_rows":153,"n_cols":82,"rows_kept":153}
[]
[null," Glancing Ship Collision (Wedge Edge)"]
[]
[null,"Ship Main Parameters",{"$nulls":3},"units","Ice Block Parameters",{"$nulls":3},"units"]
[null,null,"Ship Name","SN","test","text"]
[null,null,"Length","L",{"v":120,"d":"120.0"},"m",null,"Length","Le_ice",{"v":30,"d":"30.0"},"m",{"$nulls":14},"For other combinations of know angles, use:"]
[null,null,"Beam","B",{"v":20,"d":"20.00"},"m",null,"Beam","Be_ice",{"v":30,"d":"30.0"},"m"]
[null,null,"Draft","T",{"v":5,"d":"5.00"},"m",null,"Ice thickness","He_ice",{"v":1,"d":"1.0"},"m"]
[null,null,"Height","H",{"v":12,"d":"12.00"},"m",null,"Density","D_ice",{"v":900,"d":"900.0"},"Kg/m3",{"$nulls":13},"a","and","a","and","a","and","b","and"]
[null,null,"Block Coef.","CB",0.8,"nd",{"$nulls":3}," ",{"$nulls":14},"b","known","b'","known","g","known","g","known"]
[null,null,"Waterplane Coef","Cwp",0.8,"nd",null,"Block Coef.","CB_ice",{"v":1,"d":"1.000"},"nd",{"$nulls":13},"a",22,"a",22,"a",22,"a",{"$f":"AF15/deg","v":{"v":22.00009195748073,"d":"22.000"}}]
[null,null,"Midship Coefficient","Cm",0.9,"nd",null,"Waterplane Coef","Cwp_ice",{"v":1,"d":"1.000"},"nd",{"$nulls":13},"b",{"v":40.907,"d":"40.9"},"b",{"$f":"AB16/deg","v":{"v":40.90698045657162,"d":"40.907"}},"b",{"$f":"AD16/deg","v":{"v":40.906868971060575,"d":"40.907"}},"b",40.907]
[null,null,"Mass","M",{"$f":"Loa*B*T*CB*1.025","v":9840},"tonnes",null,"Midship Coefficient","Cm_ice",{"v":1,"d":"1.000"},"nd",{"$nulls":13},"b'",{"$f":"Z17/deg","v":{"v":38.77665928054718,"d":"38.777"}},"b'",{"v":38.77664,"d":"38.777"},"b'",{"$f":"AD17/deg","v":{"v":38.77653001411364,"d":"38.777"}},"b'",{"$f":"AF17/deg","v":{"v":38.77664114049583,"d":"38.77664"}}]
[null,null,"Initial Values",{"$nulls":4},"Mass","Ma_ice",{"$f":"J6*J7*J8*J9*J11*0.001","v":810},"tonnes",{"$nulls":13},"g",{"$f":"Z18/deg","v":{"v":65.0001014071066,"d":"65.000"}},"g",{"$f":"AB18/deg","v":{"v":65.0000862819024,"d":"65.000"}},"g",65,"g",65]
[null,null,"Ship Speed","Vs",{"v":4,"d":"4.0000"},"m/s",null,null,"=",{"$f":"J14*0.0098","v":7.938},"MN",null,"Infinite Ice Scenario",{"$nulls":11},"a",{"$f":"Z11*deg","v":{"v":0.3839724354387525,"d":"0.3840"}},"a",{"$f":"AB11*deg","v":{"v":0.3839724354387525,"d":"0.3840"}},"a",{"$f":"AD11*deg","v":{"v":0.3839724354387525,"d":"0.3840"}},"a",{"$f":"ATAN(TAN(AF16)/TAN(AF18))","v":{"v":0.38397404039956307,"d":"0.3840"}}]
[null,null,"sway speed","Vy",{"v":0,"d":"0.0000"},"m/s",{"$nulls":18},"b",{"$f":"Z12*deg","v":{"v":0.7139618371133203,"d":"0.7140"}},"b",{"$f":"ATAN(TAN(AB17)/COS(AB15))","v":{"v":0.713961496016148,"d":"0.7140"}},"b",{"$f":"ATAN(TAN(AD15)*TAN(AD18))","v":{"v":0.713959550226912,"d":"0.7140"}},"b",{"$f":"AF12*deg","v":{"v":0.7139618371133203,"d":"0.7140"}}]
[null,null,"heave speed","Vz",{"v":0,"d":"0.0000"},"m/s",{"$nulls":18},"b'",{"$f":"ATAN(TAN(Z16)*COS(Z15))","v":{"v":0.6767803773695639,"d":"0.6768"}},"b'",{"$f":"AB13*deg","v":{"v":0.676780040860534,"d":"0.6768"}},"b'",{"$f":"ATAN(TAN(AD16)*COS(AD15))","v":{"v":0.6767781212446863,"d":"0.6768"}},"b'",{"$f":"ATAN(TAN(AF16)*COS(AF15))","v":{"v":0.6767800607659413,"d":"0.6768"}}]
[null,null,"roll speed","Vrol",{"v":0,"d":"0.0000"},"rad/s",{"$nulls":18},"g",{"$f":"ATAN(TAN(Z16)/TAN(Z15))","v":{"v":1.1344657836842094,"d":"1.1345"}},"g",{"$f":"ATAN(TAN(AB16)/TAN(AB15))","v":{"v":1.1344655196995959,"d":"1.1345"}},"g",{"$f":"AD14*deg","v":{"v":1.1344640137963142,"d":"1.1345"}},"g",{"$f":"AF14*deg","v":{"v":1.1344640137963142,"d":"1.1345"}}]
[null,null,"Pitch speed","Vpit",{"v":0,"d":"0.0000"},"rad/s"]
[null,null,"Yaw Speed","Vyaw",{"v":0,"d":"0.0000"},"rad/s"]
[]
[]
[null,"Hull Angles and coordinates"]
[null,null,"Alpha","a",25,"deg"]
[null,null,"Beta","b",{"$f":"E29/deg","v":{"v":32.49858487096429,"d":"32.499"}},"deg"]
[null,null,"Beta prime","b'",{"v":30,"d":"30.000"},"deg"]
[null,null,"gamma","g",{"$f":"E31/deg","v":{"v":53.79601025489383,"d":"53.796"}},"deg"]
[null,null,"Alpha","a",{"$f":"E24*deg","v":{"v":0.4363323129985824,"d":"0.4363"}},"rad"]
[null,null,"Beta","b",{"$f":"ATAN(TAN(E30)/COS(E28))","v":{"v":0.5672073082371433,"d":"0.5672"}},"rad",{"$nulls":6},"Finite Ice Floe Scenario"]
[null,null,"Beta prime","b'",{"$f":"E26*deg","v":{"v":0.5235987755982988,"d":"0.5236"}},"rad"]
[null,null,"gamma","g",{"$f":"ATAN(TAN(E29)/TAN(E28))","v":{"v":0.9389175033845313,"d":"0.9389"}},"rad"]
[]
[]
[null,null,"x coordinate","x",{"v":50,"d":"50.0"},"m",null,"x coordinate","x_ice",{"$f":"-Le_ice*0.5","v":{"v":-15,"d":"-15.0"}},"m"]
[null,null,"y coordinate","y",{"v":5,"d":"5.0"},"m",null,"y coordinate","y_ice",{"$f":"-0.5*Be_ice","v":{"v":-15,"d":"-15.0"}},"m"]
[null,null,"z coordinate","z",0,"m",null,"z coordinate","z_ice",0,"m"]
[]
[null,"Ice Crushing Terms"]
[null,null,"Ice strength term","Po",6,"Mpa"]
[null,null,"Ice exponent (process PA)","ex",-0.1,"nd"]
[null,null,"Wedge angle","f",170,"deg"]
[null,null,"Wedge angle","f",{"$f":"E41*deg","v":{"v":2.9670597283903604,"d":"2.97"}},"rad"]
[null,null,"Ice Thickness","hi",{"$f":"He_ice","v":{"v":1,"d":"1.00"}},"m "]
[null,null,"Ice flex. Strength","sf",{"v":1,"d":"1.00"},"MPa"]
[null,null,"form factor 1","fx",{"$f":"3+2*ex","v":{"v":2.8,"d":"2.80"}},"nd"]
[null,null,"form factor 2","fa",{"$f":"(TAN(f/2)/((COS(betp))^2*SIN(betp)))^(1+ex)","v":{"v":21.65784568402196,"d":"21.66"}},"nd"]
[null,null,"Flexural for limit ","Ff",{"$f":"1.2*44:44*43:43^2/SIN(betp)","v":{"v":2.4000000000000004,"d":"2.40"}},"MN",{"$nulls":6},"Indentation Geometry"]
[null,null,"Flex limit on pen","znlim",{"$f":"(47:47/(Po*fa))^(1/(fx-1))","v":{"v":0.10887138365161153,"d":"0.11"}},"m"]
[]
[null,"Popov Terms for ship",{"$nulls":4},"Popov Terms for ice"]
[null,null,"x dirn cosine","l",{"$f":"SIN(a)*COS(betp)","v":{"v":0.36599815077066683,"d":"0.3660"}},"nd",null,"x dirn cosine","l_ice",{"$f":"-SIN(a)*COS(betp)","v":{"v":-0.36599815077066683,"d":"-0.3660"}},"nd"]
[null,null,"y dirn cosine","m",{"$f":"COS(a)*COS(betp)","v":{"v":0.7848855672213958,"d":"0.7849"}},"nd",null,"y dirn cosine","m_ice",{"$f":"-COS(a)*COS(betp)","v":{"v":-0.7848855672213958,"d":"-0.7849"}},"nd"]
[null,null,"z dirn cosine","n",{"$f":"SIN(betp)","v":{"v":0.49999999999999994,"d":"0.5000"}},"nd",null,"z dirn cosine","n_ice",{"$f":"-SIN(betp)","v":{"v":-0.49999999999999994,"d":"-0.5000"}},"nd"]
[]
[null,null,"roll moment arm","ll",{"$f":"n_*y-m_*z","v":{"v":2.4999999999999996,"d":"2.5000"}},"m",null,"roll moment arm","ll_ice",{"$f":"n_ice*y_ice-m_ice*z_ice","v":{"v":7.499999999999999,"d":"7.500"}},"m"]
[null,null,"pitch moment arm","ml",{"$f":"l_*z-n_*x","v":{"v":-24.999999999999996,"d":"-25.0000"}},"m",null,"pitch moment arm","ml_ice",{"$f":"l_ice*z_ice-n_ice*x_ice","v":{"v":-7.499999999999999,"d":"-7.500"}},"m"]
[null,null,"yaw moment arm","hl",{"$f":"m_*x-l_*y","v":{"v":37.41428760721645,"d":"37.4143"}},"m",null,"yaw moment arm","hl_ice",{"$f":"m_ice*x_ice-l_ice*y_ice","v":{"v":6.283311246760934,"d":"6.283"}},"m"]
[]
[null,null,"Surge Added Mass","Amx",{"$f":"0","v":{"v":0,"d":"0.0000"}},"nd",null,"Surge Added Mass","Amx_ice",{"v":0.1,"d":"0.100"},"nd"]
[null,null,"Sway Added Mass","Amy",{"$f":"2*T/B","v":{"v":0.5,"d":"0.5000"}},"nd",null,"Sway Added Mass","Amy_ice",{"v":0.1,"d":"0.100"},"nd"]
[null,null,"Heave Added Mass","Amz",{"$f":"2/3*(B*Cwp^2)/(T*(CB*(1+Cwp)))","v":{"v":1.1851851851851853,"d":"1.1852"}},"nd",null,"Heave Added Mass","Amz_ice",{"v":10,"d":"10.000"},"nd"]
[null,null,"Roll Added Mass","Amrol",{"$f":"0.25","v":{"v":0.25,"d":"0.2500"}},"nd",null,"Roll Added Mass","Amrol_ice",{"v":12,"d":"12.000"},"nd"]
[null,null,"Pitch Added Mass","Ampit",{"$f":"B/(T*(3-2*Cwp)*(3-Cwp))","v":{"v":1.2987012987012985,"d":"1.2987"}},"nd",null,"Pitch Added Mass","Ampit_ice",{"v":12,"d":"12.000"},"nd"]
[null,null,"Yaw Added Mass","Amyaw",{"$f":"0.3+0.05*Loa/B","v":{"v":0.6,"d":"0.6000"}},"nd",null,"Yaw Added Mass","Amyaw_ice",{"v":0.1,"d":"0.100"},"nd"]
[]
[null,null,"roll gyrad(squared)","rx2",{"$f":"Cwp*B^2/(11.4*Cm)+H^2/12","v":{"v":43.18908382066277,"d":"43.1891"}},"m2",null,"roll gyrad(squared)","rx2_ice",{"$f":"Cwp_ice*Be_ice^2/(11.4*Cm_ice)+He_ice^2/12","v":{"v":79.03070175438596,"d":"79.031"}},"m2"]
[null,null,"pitch gyrad(squared)","ry2",{"$f":"0.07*Cwp*Loa^2","v":{"v":806.4000000000001,"d":"806.40"}},"m2",null,"pitch gyrad(squared)","ry2_ice",{"$f":"0.07*Cwp_ice*Le_ice^2","v":{"v":63.00000000000001,"d":"63.000"}},"m2"]
[null,null,"yaw gyrad(squared)","rz2",{"$f":"Loa^2/16","v":{"v":900,"d":"900.00"}},"m2",null,"yaw gyrad(squared)","rz2_ice",{"$f":"Le_ice^2/16","v":{"v":56.25,"d":"56.250"}},"m2"]
[]
[null,null,"Mass Reduction Coef.","Co",{"$f":"l_^2/(1+Amx)+m_^2/(1+Amy)+n_^2/(1+Amz)+ll^2/(_rx2*(1+Amrol))+ml^2/(_ry2*(1+Ampit))+hl^2/(_rz2*(1+Amyaw))","v":{"v":2.084100209162925,"d":"2.0841"}},"nd",null,"Mass Reduction Coef.","Co_ice",{"$f":"l_ice^2/(1+Amx_ice)+m_ice^2/(1+Amy_ice)+n_ice^2/(1+Amz_ice)+ll_ice^2/(rx2_ice*(1+Amrol_ice))+ml_ice^2/(ry2_ice*(1+Ampit_ice))+hl_ice^2/(rz2_ice*(1+Amyaw_ice))","v":{"v":1.4660372836480815,"d":"1.466"}},"nd"]
[null,null,"Effective mass","Me",{"$f":"M/Co*1000","v":{"v":4721462.027947407,"d":"4.721E+06"}},"kg",null,"Effective mass","Me_ice",{"$f":"Ma_ice/Co_ice*1000","v":{"v":552509.8229319238,"d":"5.525E+05"}},"kg"]
[null,null,"Normal Speed","Ve",{"$f":"l_*(Vs+Vpit*z-Vyaw*y)+m_*(Vy+Vyaw*x-Vrol*z)+n_*(Vz+Vrol*y-Vpit*x)","v":{"v":1.4639926030826673,"d":"1.464"}},"m/s"]
[null,null,"Kinetic Energy","KEe",{"$f":"Me/2*Ve^2","v":{"v":5059694.210332,"d":"5059694"}},"kg-m2/s2"]
[null,null,"Impulse","Ie",{"$f":"Me*(Ve-Ve_c)*E84","v":{"v":77611.62495749496,"d":"7.761E+04"}},"kg-m/s"]
[]
[null,null,"Normal Speed after collision","Ve_c",{"$f":"Ve*Me/(Me+Me_ice)","v":{"v":1.3106223696469337,"d":"1.311"}},"m/s"]
[null,null,"Effective_mass for collision","Me_c",{"$f":"1/(1/Me+1/Me_ice)","v":{"v":494628.0000728638,"d":"494,628"}},"kg"]
[null,null,"Kinetic Energy for collision","KEe_c",{"$f":"Me_c/2*Ve^2","v":{"v":530061.750665983,"d":"5.301E+05"}},"kg-m2/s2"]
[]
[]
[null,"Results"]
[null,null,"pen(crush)","zc",{"$f":"(KEe_c*fx/Po/1000000/fa)^(1/fx)","v":{"v":0.20245469585163145,"d":"0.202"}},"m"]
[null,null,"Crush Force","Fc",{"$f":"Po*fa*E82^(fx-1)","v":{"v":7.330888995296138,"d":"7.331"}},"MN"]
[null,null,"Impusle Fraction","k_imp",{"$f":"(E86/E83)^2","v":{"v":0.10717887558217516,"d":"0.107"}},null,"new - calcs impulse to 1st flex failure assumes lin force-time"]
[null,null,"pen(n)","zn",{"$f":"MIN((KEe_c*fx/Po/1000000/fa)^(1/fx),E48)","v":{"v":0.10887138365161153,"d":"0.109"}},"m"]
[null,null,"Normal Force","Fn",{"$f":"Po*fa*E85^(fx-1)","v":{"v":2.4,"d":"2.400"}},"MN","Flex Failure if Blue",null,{"$f":"(E86-P76)/E86","v":{"v":1,"d":"100%"}},"difference"]
[null,null,"Average Pressure","Pav",{"$f":"E86/(E89*E90/2)","v":{"v":6.64303907333947,"d":"6.643"}},"Mpa"]
[]
[null,null,"width of patch","w",{"$f":"2*E85*TAN(f/2)/COS(E30)","v":{"v":2.8738316543002016,"d":"2.874"}},"m"]
[null,null,"Height of patch","h",{"$f":"E85/(SIN(E30)*COS(E30))","v":{"v":0.2514276906332198,"d":"0.251"}},"m"]
[null,null,"Aspect Ratio",null,{"$f":"2*TAN(f/2)/COS(E30)*((SIN(E30)*COS(E30)))","v":{"v":11.430052302761347,"d":"11.430"}}]
[null,null,"FE Patch values"]
[null,null,"width of patch","wd",{"$f":"(0.7071*E89)^0.7","v":{"v":1.6427047499616938,"d":"1.643"}},{"$nulls":3},{"$f":"(E93-P80)/E93","v":{"v":1,"d":"100%"}},"difference"]
[null,null,"Height of patch","hd",{"$f":"E93/E91","v":{"v":0.1437180431418357,"d":"0.144"}},{"$nulls":3},{"$f":"(E94-P81)/E94","v":{"v":1,"d":"100%"}},"difference"]
[null,null,"Area","Ad",{"$f":"E93*E94","v":{"v":0.23608631212429312,"d":"0.236"}}]
[null,null,"Force","F",{"$f":"E86","v":{"v":2.4,"d":"2.400"}}]
[null,null,"Line Load","Q",{"$f":"E96/E93","v":{"v":1.461005089353985,"d":"1.461"}}]
[null,null,"Patch pressure","Pd",{"$f":"E86/E95","v":{"v":10.16577360375075,"d":"10.166"}},{"$nulls":3},{"$f":"(E98-P79)/E98","v":{"v":1,"d":"100%"}},"difference"]
[{"$nulls":4},{"$f":"E93/E94","v":{"v":11.430052302761347,"d":"11.430"}}]
[null,null,"Changes in CG Velocities"]
[null,null,"Ship Speed","dVx",{"$f":"-l_*Ie/(M*1000*(1+Amx))","v":{"v":-2.8867592695883833E-3,"d":"-0.0029"}},"m/s"]
[null,null,"sway speed","dVy",{"$f":"-m_*Ie/(M*1000*(1+Amy))","v":{"v":-0.004127116820984937,"d":"-0.0041"}},"m/s"]
[null,null,"heave speed","dVz",{"$f":"-n_*Ie/(M*1000*(1+Amz))","v":{"v":-1.8047349747247173E-3,"d":"-0.0018"}},"m/s"]
[null,null,"roll speed","dVrol",{"$f":"-Ie*ll/(M*_rx2*1000*(1+Amrol))","v":{"v":-3.6524786182820144E-4,"d":"-0.0004"}},"rad/s"]
[null,null,"Pitch speed","dVpit",{"$f":"-Ie*ml/(M*_ry2*1000*(1+Ampit))","v":{"v":1.0637476810041519E-4,"d":"0.0001"}},"rad/s"]
[null,null,"Yaw Speed","dVyaw",{"$f":"-Ie*hl/(M*_rz2*1000*(1+Amyaw))","v":{"v":-2.0493053140689468E-4,"d":"-0.0002"}},"rad/s"]
[]
[null,null,"Post Impact Velocities"]
[null,null,"Ship Speed","Vs",{"$f":"E15+E101","v":{"v":3.9971132407304117,"d":"3.9971"}},"m/s","unchanged for input in reflected collision"]
[null,null,"sway speed","Vy",{"v":-0.004127116820984937,"d":"-0.0041"},"m/s","Can be reversed or set to zero for input"]
[null,null,"heave speed","Vz",{"v":-1.8047349747247173E-3,"d":"-0.0018"},"m/s"," \""]
[null,null,"roll speed","Vrol",{"v":-3.6524786182820144E-4,"d":"-0.0004"},"rad/s"," \""]
[null,null,"Pitch speed","Vpit",{"v":1.0637476810041519E-4,"d":"0.0001"},"rad/s"," \""]
[null,null,"Yaw Speed","Vyaw",{"v":-2.0493053140689468E-4,"d":"-0.0002"},"rad/s"," \""]
[]
[null,"Deg to rad"]
[null,{"$f":"PI()/180","v":0.017453292519943295}]
[]
[]
[null,"Time History of Force"]
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[null,null,"MN","Ft",{"$f":"-E127*Me/1000000","v":0},{"$f":"-F127*Me/1000000","v":0.0648240996802654},0.22558748572038634,0.4671039372887965,0.7809647815364246,1.1598095241600501,1.5959647397241932,2.0808589942938327,2.6047485081252177,3.156628487384988,3.7242865263061673,4.294478472155604,4.853213000692326,5.386129924874151,5.878953075954975,6.317993508078873,6.690674114262514,6.9860434928787285,7.1952457995526835,7.311914809964902,7.33246463427181,0,0,0,0,0,0,0,0,0,0,0,{"$f":"-AK127*Me/1000000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"-BQ127*Me/1000000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0]
[{"$nulls":3},"dMom",{"$f":"(E129+F129)*step/2","v":3.24120498401327E-4},{"$f":"IF(G129=0,0,(F129+G129)*step/2)","v":1.4520579270032585E-3},3.4634571150459143E-3,0.006240343594126106,0.009703871528482374,0.013778871319421215,0.018384118670090127,0.023428037512095254,0.02880688497755103,0.034404575068455776,0.04009382499230885,0.045738457364239656,0.05119671462783239,0.05632541500414563,0.06098473292016924,0.06504333811170693,0.06838358803570621,0.07090644646215706,0.07253580304758793,0.07322189722118357,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AM129=0,0,(AL129+AM129)*step/2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(BS129=0,0,(BR129+BS129)*step/2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0]
[{"$nulls":3},"Mon",{"$f":"SUM(E130:BV130)*1000000","v":{"v":744416.5559977099,"d":"744417"}}]
[{"$nulls":3},"step",0.01]
[{"$nulls":4},0,{"$f":"CD121","v":0.7700000000000005}]
[{"$nulls":3},"Feqn",{"$f":"E86","v":{"v":2.4,"d":"2.400"}},{"$f":"E86","v":{"v":2.4,"d":"2.400"}}]
[{"$nulls":4},0,{"$f":"CD121","v":0.7700000000000005}]
[{"$nulls":3},"Veqn",{"$f":"Ve_c","v":{"v":1.3106223696469337,"d":"1.3106"}},{"$f":"Ve_c","v":{"v":1.3106223696469337,"d":"1.3106"}}]
[{"$nulls":4},0,{"$f":"CD121","v":0.7700000000000005}]
[{"$nulls":3},"Peqn",{"$f":"E85","v":{"v":0.10887138365161153,"d":"0.109"}},{"$f":"E85","v":{"v":0.10887138365161153,"d":"0.109"}}]
{"$rows_empty":13}
[{"$nulls":5},"Note : Ft does not include flexural failure limit, though Feqn does"]
[{"$nulls":6}," v_ship, v_ice, Veqn,Pen(n) and Peqn don't include the case that flexural failure happens,though Feqn does",{"$nulls":11}," "]

{"sheet":"Flat Vertical Structure","index":3,"n_rows":66,"n_cols":128,"rows_kept":66,"merged":[[37,2,37,4]]}
[]
[null,"Ice Floe Collision on Flat Structure"]
[{"$nulls":7},"Scenario"]
[null,"Ship Main Parameters",{"$nulls":3},"units"]
[null,null,"Case","SN","test","text"]
[null,null,"Structure Mass","M",{"v":1000000000,"d":"1.00E+09"},"kg"]
[]
[null,"Ice Crushing Terms"]
[null,null,"Ice strength term","Po",3,"Mpa"]
[null,null,"Ice exponent (process PA)","ex",-0.1,"nd"]
[null,null,"Ice Thickness","hi",{"v":1,"d":"1.00"},"m "]
[null,null,"Ice Floe length","li",10,"m"]
[null,null,"Ice velocity","vi",{"v":-1,"d":"-1.00"},"m/s"]
[null,null,"Ice mass","Mi",{"$f":"E12*E12*hi*0.9*1000","v":{"v":90000,"d":"90,000"}},"kg"]
[null,null,"phi","f",90,"deg"]
[null,null,"phi","f",{"$f":"E15*deg","v":{"v":1.5707963267948966,"d":"1.5708"}},"rad"]
[null,null,"form 1","fx",{"$f":"2+ex","v":{"v":1.9,"d":"1.90"}},"nd"]
[null,null,"form 2","fa",{"$f":"(2*TAN(E16/2)*E11)^(1+E10)","v":{"v":1.8660659830736146,"d":"1.8661"}},"nd"]
[]
[null,null,"Kinetic Energy","KEe",{"$f":"E14/2*E13^2","v":45000},"kg-m2/s2"]
[null,null,"Impulse","Ie",{"$f":"E14*(vi-Ve_c)","v":{"v":-89991.9007289344,"d":"-89992"}},"kg-m/s"]
[]
[null,null,"Normal Speed at collision end","Ve_c",{"$f":"vi*Mi/(M+Mi)","v":{"v":-8.9991900728934391E-5,"d":"-0.000"}},"m/s"]
[null,null,"Effective_mass for collision","Me_c",{"$f":"1/(1/M+1/Mi)","v":{"v":89991.90072893439,"d":"89,992"}},"kg"]
[null,null,"Kinetic Energy for collision","KEe_c",{"$f":"Me_c/2*vi^2","v":{"v":44995.95036446719,"d":"44,996"}},"kg-m2/s2"]
[]
[null,"Results"]
[null,null,"pen(n)","zn",{"$f":"(KEe_c*fx/Po/1000000/fa)^(1/fx)","v":{"v":0.11069977186772977,"d":"0.111"}},"m"]
[null,null,"Nomal Force","Fn",{"$f":"Po*fa*E28^(fx-1)","v":{"v":0.7722898091844189,"d":"0.772"}},"MN"]
[null,null,"Aveage Pressure","Pav",{"$f":"E29/E35","v":{"v":3.488217708827773,"d":"3.488"}},"Mpa"]
[]
[null,null,"width of patch","w",{"$f":"E28*2*TAN(E16/2)","v":{"v":0.2213995437354595,"d":"0.221"}},"m"]
[null,null,"Height of patch","h",{"$f":"E11","v":{"v":1,"d":"1.000"}},"m",null,"Indentation Geometry"]
[null,null,"Aspect Ratio",null,{"$f":"E32/E33","v":{"v":0.2213995437354595,"d":"0.221"}}]
[null,null,"Area n","An",{"$f":"E33*E32","v":{"v":0.2213995437354595,"d":"0.221"}},"m2"]
[]
[]
[null,null,"FE Patch Values"]
[null,null,"Width of Patch","wd",{"$f":"(0.7071*E32)","v":{"v":0.1565516173753434,"d":"0.157"}},"*  nominal width reduced by 70%"]
[null,null,"Height of Patch","hd",{"$f":"E39/E34","v":{"v":0.7071,"d":"0.707"}}]
[null,null,"Area","Ad",{"$f":"E39*E40","v":{"v":0.1106976486461053,"d":"0.111"}}]
[null,null,"Patch Pressure","Pd",{"$f":"E29/E41","v":{"v":6.976569228253346,"d":"6.977"}}]
[]
[null,"Deg to rad"]
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[]
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[{"$nulls":3},"Mon",{"$f":"SUM(E58:BV58)*1000000","v":{"v":90752.27465388813,"d":"90752"}}]
[{"$nulls":3},"step",0.01]
[{"$nulls":4},0,{"$f":"DX49","v":1.2300000000000009}]
[{"$nulls":3},"Feqn",{"$f":"E29","v":{"v":0.7722898091844189,"d":"0.772"}},{"$f":"E29","v":{"v":0.7722898091844189,"d":"0.772"}}]
[{"$nulls":4},0,{"$f":"DX49","v":1.2300000000000009}]
[{"$nulls":3},"Veqn",{"$f":"Ve_c","v":-8.9991900728934391E-5},{"$f":"Ve_c","v":-8.9991900728934391E-5}]
[{"$nulls":4},0,{"$f":"DX49","v":1.2300000000000009}]
[{"$nulls":3},"Peqn",{"$f":"E28","v":{"v":0.11069977186772977,"d":"0.111"}},{"$f":"E28","v":{"v":0.11069977186772977,"d":"0.111"}}]

{"sheet":"Cylindrical Structure","index":4,"n_rows":65,"n_cols":128,"rows_kept":65,"merged":[[36,2,36,4]]}
[]
[null,"Ice Floe Collision on Vertical Cylinder"]
[]
[null,"Structure Parameters",{"$nulls":3},"units",null,"Scenario"]
[null,null,"Case","SN","test","text"]
[null,null,"Stucture Effective Mass","M",{"v":4000000,"d":"4,000,000"},"kg"]
[]
[null,"IceParameters"]
[null,null,"Ice strength term","Po",3,"Mpa"]
[null,null,"Ice exponent (process PA)","ex",-0.1,"nd"]
[null,null,"Ice Thickness","hi",{"v":1,"d":"1.00"},"m "]
[null,null,"Ice Floe length","li",10,"m"]
[null,null,"Ice velocity","vi",{"v":-1,"d":"-1.00"},"m/s"]
[null,null,"Ice mass","Mi",{"$f":"E12*E12*hi*0.9*1000","v":{"v":90000,"d":"90,000"}},"kg"]
[null,null,"Strut Radius","rp",5,"m"]
[null,null,"form 1","fx",{"$f":"1.5+0.5*ex","v":1.45},"nd"]
[null,null,"form 2","fa",{"$f":"(2*E11*SQRT(2*E15))^(1+E10)","v":{"v":5.259288515307899,"d":"5.2593"}},"nd"]
[]
[null,null,"Kinetic Energy","KEe",{"$f":"E14/2*E13^2","v":45000},"kg-m2/s2"]
[null,null,"Impulse","Ie",{"$f":"E14*(vi-Ve_c)","v":{"v":-88019.55990220049,"d":"-88020"}},"kg-m/s"]
[]
[null,null,"Normal Speed at collision end","Ve_c",{"$f":"vi*Mi/(M+Mi)","v":{"v":-0.022004889975550123,"d":"-0.022"}},"m/s"]
[null,null,"Effective_mass for collision","Me_c",{"$f":"1/(1/M+1/Mi)","v":{"v":88019.55990220049,"d":"88,020"}},"kg"]
[null,null,"Kinetic Energy for collision","KEe_c",{"$f":"Me_c/2*vi^2","v":{"v":44009.779951100245,"d":"44,010"}},"kg-m2/s2"]
[]
[null,"Results"]
[null,null,"pen(n)","zn",{"$f":"(KEe_c*fx/Po/1000000/fa)^(1/fx)","v":{"v":0.022364788324877007,"d":"0.022"}},"m"]
[null,null,"Nomal Force","Fn",{"$f":"Po*fa*E27^(fx-1)","v":{"v":2.8533326585574232,"d":"2.853"}},"MN"]
[null,null,"Aveage Pressure","Pav",{"$f":"E28/E34","v":{"v":3.0167548217552587,"d":"3.017"}},"Mpa"]
[{"$nulls":7},"Indentation Geometry"]
[null,null,"width of patch","w",{"$f":"2*SQRT(2*E27*E15)","v":{"v":0.9458284902640015,"d":"0.946"}},"m"]
[null,null,"Height of patch","h",{"$f":"E11","v":{"v":1,"d":"1.000"}},"m"]
[null,null,"Aspect Ratio",null,{"$f":"E31/E32","v":{"v":0.9458284902640015,"d":"0.946"}}]
[null,null,"Area n","An",{"$f":"E31*E32","v":{"v":0.9458284902640015,"d":"0.946"}},"m2"]
[]
[]
[null,null,"FE Patch Values"]
[null,null,"Width of Patch","wd",{"$f":"(0.7071*E31)","v":{"v":0.6687953254656754,"d":"0.669"}},"*  nominal width reduced by 70%"]
[null,null,"Height of Patch","hd",{"$f":"E38/E33","v":{"v":0.7071,"d":"0.707"}}]
[null,null,"Area","Ad",{"$f":"E38*E39","v":{"v":0.47290517463677906,"d":"0.473"}}]
[null,null,"Patch Pressure","Pd",{"$f":"E28/E40","v":{"v":6.033625368445085,"d":"6.034"}}]
[]
[null,"Deg to rad"]
[null,{"$f":"PI()/180","v":0.017453292519943295}]
[]
[]
[null,"Time History of Force"]
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