Problem 4) (a) Use modal analysis to determine the following properties for the following idealized 3-DOF building: a. natural frequencies b. natural periods c. normalized mode shapes (normalized by mass matrix) use in., kip and sec. as the basic units (b) Sketch the final normalized mode shapes. w3 = 8 kip k3 = 20 kip/in w2 = 15 kip (W2. k2 = 30 kip/in wi = 25 kip (Wi In kı = 50 kip/in

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MATLAB

MATLAB software is a registered trademark, multi-model programming language, and numerical computing environmental system created by MathWorks. 'MATLAB' is the short-form of "Matrix Laboratory". The MATLAB software permits the utilization of matrix operations, graphical representation of data, execution of algorithms, development of user interface, and linking programs created in other languages. Even though MATLAB is developed mainly for numerical computing, there is an optional toolbox that uses a symbolic engine known as MuPAD giving access to all the symbolic computing abilities. In addition to this, a Simulink package delivers graphical multi-domain simulation and design that is model-based for embedded and dynamic systems. MATLAB users are spread worldwide across the world and use MATLAB extensively.