{"text_format":"5","workbook":"xls","n_sheets":2,"sheets":["Data, Model, Integration","p(t), x(t), f_s(t))+f_d(t)"],"props":{"last_modified_by":"Calc"},"defined_names":["m","z","dc","k","h","beta","gamma","keff","dur","P","a_coef","v_coef","cdu","cv","ca","u_0","v_0","t_0"],"not_rendered":{"charts":3,"external_links":1,"defined_names":18},"read":"whole","wrapped":"xz","date_system":"1900","formulas":"cached_only"}

{"sheet":"Data, Model, Integration","index":0,"n_rows":1024,"n_cols":10,"rows_kept":1024,"merged":[[0,0,2,9],[3,1,3,9],[5,1,6,4],[5,6,6,9],[17,7,17,8]],"flags":["formulas_cached_only"]}
["Numerical Integration with linear acceleration algorithm"]
[]
[]
[null,"In this workbook the natural units of measure are, in my opinion, seconds, mm and kN.\n    Having chosen three different units of measure, all the others units are derived from these and in particular the unit mass subject to  a force of 1 kN accelerates at 1 mm/s2, hence the unit mass is 1E6 kg or, using the SI prefix, 1 Mkg (in practice, you must divide the mass of the machine by 1 million).\n    Particular care must be used also for the spring stiffness, that is the force, in kN, due to a unit elongation of the spring, in mm (in practice, again, you divide the stiffness of the support by 1 million).\n    This sheet is protected, the only thing that you can change is the damping ratio, please beware if you unprotect the sheet because the stiffness is computed for a fixed mass of 35000 kg.\n"]
[]
[null,"System data",{"$nulls":4},"Model data"]
[]
[]
[null,null,"mass",{"v":0.035,"d":"0.03500"}," Mkg",null,null,"b",0.16666666666666666]
[null,null,"damping ratio",{"v":0.05,"d":"0.05000"},{"$nulls":3},"g",0.5]
[null,null,"damping coefficient",{"v":0.05242290118623649,"d":"0.05242"}," kN·s/mm"]
[null,null,"stiffness",{"v":7.8518873393769,"d":"7.85189"}," kN/mm",null,null,"time step",0.01," s"]
[{"$nulls":7},"equivalent stiffness",2123.578757695248," kN/mm"]
[null,null,"Load = sin(10pt) ·",{"v":1,"d":"1.00000"}," kN",{"$nulls":3},"load correction coefficients:    "]
[null,null,"transient duration",{"v":6,"d":"6.00000"}," s",null,null,"acceleration multiplier",0.10526211450593119," Mkg"]
[{"$nulls":7},"velocity multiplier",21.15726870355871," kN·s/mm"]
[null,null,"initial time",{"v":0,"d":"0.00000"}," s"]
[null,null,"initial displacement",{"v":0,"d":"0.00000"}," mm",null,null,"coeff. in “dv = ... “"]
[null,null,"initial velocity",{"v":0,"d":"0.00000"}," mm/s",null,null,"du*... ",300]
[{"$nulls":7},"v*... ",-3]
[null,null,"peak force",2.8495422514443103," kN",null,null,"a*... ",-0.005]
[]
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