Question: 15.b i) With appropriate examples explain material non-linearity, geometric non-linearity and contact non-linearity. (8marks) ii) What are the various solution techniques for solving non linear
15.b i) With appropriate examples explain material non-linearity, geometric non-linearity and contact non-linearity. (8marks) ii) What are the various solution techniques for solving non linear problems? Explain clearly the Newton Raphson technique and list its merits and demerits. (8 marks) [K]e=l3EI126l126l6l4l26l2l2126l126l6l2l26l4l2{f}e=2ql1l/61l/6N1=1(l23x2)+(l32x3)N2=x(l2x2)+(l2x3)N3=(l23x2)(l32x3)[M]=420A1562254132242133254131562213322242N4=(lx2)+(l2x3)N1=1(l3x)+(l22x2)N2=lx+l22x2[K]e=6abk2(a2+b2)(a22b2)(a2+b2)(b22a2)(a22b2)2(a2+b2)(b22a2)(a2+b2)(a2+b2)(b22a2)2(a2+b2)(a22b2)(b22a2)(a2+b2)(2b2+a2)2(a2+b2)N3=l4xl24x2 ii) What are the various solution techniques for solving non linear problems? Explain clearly the Newton Raphson technique and list its merits and demerits. (8 marks) [K]e=l3EI126l126l6l4l26l2l2126l126l6l2l26l4l2{f}e=2ql1l/61l/6N1=1(l23x2)+(l32x3)N2=x(l2x2)+(l2x3)N3=(l23x2)(l32x3)[M]=420A1562254132242133254131562213322242N4=(lx2)+(l2x3)N1=1(l3x)+(l22x2)N2=lx+l22x2[K]e=6abk2(a2+b2)(a22b2)(a2+b2)(b22a2)(a22b2)2(a2+b2)(b22a2)(a2+b2)(a2+b2)(b22a2)2(a2+b2)(a22b2)(b22a2)(a2+b2)(2b2+a2)2(a2+b2)N3=l4xl24x2
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