Study of Finite Element Analysis for Dynamic ...

Study of Finite Element Analysis for Dynamic Loading on Multi–Storey Building

Author Name : Mohammed Anees Patka, Mehfuz Rahman Shaikh, Siddiqui Fateh Mohammed, Omkar Prakash Jadhav, Javed shaikh

ABSTRACT

The report focuses on study of multi – storey building subjected to dynamic load i.e. seismic load. The analysis will be demonstrated by using finite element methods. The aim is to have a comparative study of the design to understand the behaviour and maximize the efficiency of the structure to resist the seismic load. By finite element methods the performance of the designed model structure subjected to dynamic load will be studied before construction, various response parameters such as stress, deformation, acceleration etc. will be calculated. Using technical numerical methods final free body diagram is prepared. The response spectrum obtain will be studied for  load conditions and check will be done for different parameters. The analysis will help to work on structure under real time circumstances and to achieve suitable design to withstand dynamic load. Finite element analysis (FEA) gives an approximation to the solution to these problems by numerical approach. By this approach, the shape of the object of study is broken down into a great number of small simple elements, creating a net of elements called mesh. Process of dividing the problem domain into an equivalent system of smaller domains or units and selecting a discrete number of points is called discretization. Once a problem domain is discretized, solution can be obtained for each of the smaller domains or units considered. Finally, such domain wise solutions can be combined together to obtain solution for the entire domain. Hence, the solution is obtained from the approach known as ‘going from part to whole’. Through this approach, analysis is simplified even though large amount of data may have to be handledDiscrete points considered in the domain are called nodes and the smaller domains or units considered are called elements. Elements and nodes together constitute the mesh. Fineness of the mesh increases accuracy of the solution but at the cost of computation time. On the other hand, the number of unknown parameters at each node, determines the degrees of freedom.

The computer runs calculations for every single element in the mesh and then adds the individual results in accordance with the correlation between these elements. FEM offers a way to solve wide variety of complex continuum problems by sub-dividing them into a series of simpler interrelated problems. Essentially, it provides a consistent technique for modelling whole system as assemblages of discrete parts or finite elements. The degrees of freedom to which the assembly of elements represents the whole system usually depend on the number, size and type of elements chosen for the representation.

Keywords: dynamic load, finite element method, load conditions, maximize efficiency.