. The methods that are going to be used in the question will be as following:
What is the element local stiffness matrix [k] and how to create it?
Find the (sin a) and (cos a) angles of the elements?
What is the element transformation matrix [T] and how it is created?
How to switch from the local stiffness matrix [k] to the global stiffness matrix [K]? Find the global stiffness matrix [K].
What is the system stiffness matrix [S] and how is it created? (The assembled global stiffness matrix [K] is of the order 12*12.)
Find system node displacement vectors and systems rotation vectors?
Find system node load vectors [F]?
Find the mass matrix [M] and the reduced system stiffness matrix?
Dynamic analysis: find the dynamic matrix?
Free vibration analysis: Calculate eigenvalues and eigenvectors of the dynamic matrix?
Find displacement and rotation values with the mode superposition method?
Calculate the modal coordinates. (Calculate Modal mass participation for the first 3 modes). Find a modal matrix of modal vectors?
The insert minimum modal mass ratio which is wanted to be included in analysis.
Create a modal stiffness matrix, modal damping matrix, and modal mass matrix?
Do perform Newmark-beta analysis and switch modal analysis results to real results.
These should be found as well: Displacement values of the question and other force values.
A dynamic analysis solution should be done as well.
results must be printable or saved to a file. (preferably excel)
should be compared with the results of sap2000
after we confirmed the results, we should do the
A three-story frame model will be introduced. And sap2000 will also check the results of this threefold frame.
3-ply frame model and we will control the nodal points' displacements.
Determination of the mode shapes and vibration plots of the 3-story frame with stiffness matrix in the static analysis (for the first 3 modes) and comparison with the SAP2000 reference.
Finding modal mass contributions and printing of mod values. (preferably to excel file)
valuation of summary results about the items to be developed after the program.
I am proficient in performing static and dynamic analysis of the structure manually as well as on any computation platform i.e. SAP2000, Excel. I have done several projects like this. Please send the plan and other fil Daha Fazla