Developing Solutions

The procedure to develop a solution should include the following steps:

Recognize the need. The analytical mind seeks solutions to problems, many of which do not yet exist. For a solution to be effective there must first be a need.

Define the problem. A problem is that which creates a need. The problem must be thoroughly analyzed and understood before any solutions are sought. An equation can not be solved with more than one unknown variable, it can only be simplified.

Search for and expand the ideas. The search for ideas and development of concepts should now begin. Find alternatives, since there may be more than one solution. This step is a gathering process so do not reject any ideas prematurely. Often the integration of several ideas from various sources can lead to innovative solutions.

Synthesis and design. This is where the testing of ideas and the alternatives begins. Often the more profitable or economical solution is chosen at this stage, but do not discard the other alternatives. Do not attempt to find the perfect solution since it often requires a large investment of time, money, materials, and effort. Create a representation of the situation.

Verify the model. Experiment with and test the validity of the model. Continue to redefine the model until an acceptable representation of the real system is obtained.

Presentation of the solution. Verify the entire work systematically, then realistically in terms of use, and finally with reference to the general knowledge and experience in that field. Be certain that the final solution will solve the problem, not simply modify it.

In seeking the solution to many mechanical problems, it should become evident that vibration analysis is a useful tool in many of these steps.

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Last updated: November 24, 2002