Question

ction Status: Specify your answers with 2 digits after the decimal point. QUESTION 12 For the given harmonic excitation of frequency and amplitude F. describe in your own words how you will calculate the amplitudes of vibrations of a 2 degrees of freedom system. Use notations (x} for displacement vector. [M] for mass matrix. IK for stiffness matrix. [FU) for forcing vector. TT T Arial 3 (12pt) THE PS V V Words Path:p QUESTION 13 Fine hohe an idealisar modal nf an ainmhile travellinnramnunhadh walau All the whole are asemel in hential and the man Click Save and Submir to save and submit Chick Save All Answers to sur allan W NI ho

Answer 1

sy stem provided Ang for a : doybees of freedom kwith a harmonice, excitation og for openly is empleados means that it consists of spring Bubjected to external harmandie food System two which is le fsinul We can replace it with w fsin.at K2 K mama ni 00 00 The differential eque are given as mini + (kitk) ni-kn2 = fsincast M2 n2 tk + K2) x2 - Kno=o. Leto us assume solution of form 21- Asin (wt + Az sin( Wt+0) from eq B & eq 4 eq lege can be . rewritten. Es KitK-miw) AI - KA2 =F KAL+ (K+X22m262) A2=0 CS-Scanned with CamScanner

AL F (Retk-m2.0²) (katk-m2w2 (KitK-m, co?)-k2 A2 = EK ( Kztk-m2.2) (x2+x-milos) -K? where A & Az are the amplitude Es Scanned with CamScanner