# Category: Structural Dynamics

## Expressing a Periodic Excitation Force Acting on a System in Terms of the Fourier Series

May 15, 2017 Abdul Siraj, P.E.

In this post, I will cover show how to express a periodic excitation force acting on a system in terms of the fourier series. F(t) represents the periodic excitation force acting on a system. In order for a function to be considered periodic, it must satisfy the following equality     In which To is the…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Steel Shear Frame Structure with Fixed and Pinned Supports

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the eighth example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a steel shear frame structure with fixed and pinned supports.   The problem statement states,   For the pin and…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Steel Shear Frame Structure with Fixed Supports

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the seventh example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a steel shear frame structure with fixed supports.   The problem statement states,   For the fix supported steel shear…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Steel Shear Frame Structure with Pinned Supports

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the sixth example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a steel shear frame structure with pinned supports.   The problem statement states,   For the pin supported steel shear…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Simply Supported Beam with a Concentrated Load at Any Point Along its Length

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the fifth example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a simply supported beam with a concentrated load at any point along its length.   The problem statement states,  …