Contents
- INTRODUCTION TO VIBRATIONS AND THE PROBLEM OF FREEDOM
- The beginning of free vibration
- Port
- Viscous damping
- How is energy represented and used?
- Stubbornness
- Ratio
- Comments
- Stop
- Average response time
- Coulomb and pendulum literature
- FEATURES OF HARMONIC ENJOYMENT
- Happy Harmonic System is not installed.
- Harmonious enjoyment of the damaged system
- Alternative forms of representation
- Basic happiness
- Unbalanced circulation
- Measuring instruments
- Another way to delete
Preface
This book caters to undergraduate students studying vibrations or structural dynamics in their first-year courses in mechanical, civil, and aerospace engineering, as well as engineering mechanics. The text covers the subjects commonly found in such courses.
Den Hartog initially established accredited engineering departments, which Thompson later refined. Furthermore, they discuss subjects such as computation, measurement, and design.
Philosophy of education
The utilization of high-level computing algorithms was initially a significant distinction between the pedagogy of this text and that of its competitors. Other authors of vibration texts have since adopted these protocols. Despite the book’s design prohibiting the use of the codes, I firmly advocate for their implementation.
These codes (Mathcad®, MATLAB®, and Mathematica®) are user-friendly, comparable to a programmable calculator, and therefore do not necessitate any prerequisite courses or training. Although using a code before is convenient for students, it is not required. The MATLAB® codes can be directly replicated and will execute in the same manner as they are listed. These codes significantly improve the student’s comprehension of vibration fundamentals. A numerical simulation or plot can facilitate a totally dynamic comprehension of vibration phenomena, much like a picture is worth a thousand words. Each of the initial four chapters concludes with computer calculations and simulations.
Consequently, the assumption that codes are second nature in the context of vibration issues underlies numerous issues.
The utilization of “windows” is another distinctive aspect of this text. The book disperses these windows, which serve as reminders of critical information relevant to the current text. We insert the windows into the text at the locations where such prior information is necessary. Additionally, we employ the windows to summarize critical information. The book endeavors to establish robust correlations with prior coursework in a typical engineering curriculum. The book specifically discusses calculus, differential equations, statics, dynamics, and strength of materials.
WHAT IS NEW IN THIS EDITION?
Feedback from students and faculty who have used the third edition led to the majority of the modifications implemented in this edition. These modifications include enhanced problem statements, the inclusion of new examples that elucidate concepts, and improved clarity in explanations. Furthermore, we eliminated certain outdated and ineffective textual content. We have also revised the computer protocols. Nevertheless, software companies are able to update their codes at a much quicker pace than publishers are able to update their texts. Consequently, users should consult the web for updates in syntax, commands, and other relevant information. One consistent request from students has been to refrain from referencing data that has been previously shown in other examples or problems. We have addressed this issue by incorporating all relevant data into the problem statements. Three undergraduate engineering students, one in Biological Systems Engineering, one in Mechanical Engineering, and one in Engineering Mechanics, who had completed the prerequisite courses but had not yet taken vibration courses, reviewed the manuscript for clarity. We implemented the following modifications based on their recommendations to improve the document’s legibility from the student’s perspective.
We have improved the clarity of the explanations in 47 different sections of the text. Furthermore, two new apertures have been incorporated.
We have modified ten examples to improve clarity and added twelve new examples to clarify concepts and improve problem statements.
We eliminated the textual content that we determined to be obsolete and ineffective. We have eliminated two sections and completely rewritten two others.
All computer codes now incorporate the most recent syntax modifications in MATLAB, Mathematica, and Mathcad.
We have incorporated fifty-four new problems and revised 94 others to improve clarity and numerical accuracy.
We have modified three of the previous figures and incorporated eight new ones.
Four novel equations have been incorporated.
Chapter 1 includes new examples, equations, and problems. We have incorporated and/or altered additional textual explanations to enhance clarity in response to student feedback.
We have implemented modifications to the problems, refraining from referencing data from previous problems or examples, to ensure the problem statement is unambiguous. We have updated the instructions to the most recent syntax and replaced obsolete commands.
Chapter 2: We have incorporated new examples and figures and modified previous examples and figures to improve their clarity. We have also incorporated and/or altered new textual explanations. We have clarified the problem statement by adding new problems and modifying older ones to avoid referencing data from previous problems or examples. We have replaced older, obsolete commands and updated all codes to the current syntax.
Chapter 3 now includes new examples, equations, and problems. Specifically, we have expanded the rationale for impulse. We have also rewritten the previous problems to improve their clarity and precision. We have modified all examples and problems that referenced prior information in the text to present a more self-contained statement. We have superseded older, obsolete commands and updated all codes to adopt the current syntax.
Chapter 4: We have altered and revised numerous examples to enhance lucidity and provide more comprehensive information, in addition to adding a new example. The addition of a new window clarifies the matrix information. We have eliminated one figure and incorporated a new one. The objective is to enhance the self-containedness of all problems and examples by incorporating new ones and modifying existing ones. We have superseded older, obsolete commands and updated all codes to adopt the current syntax. We have redesigned and incorporated numerous new visualizations into the codes to address the inaccuracies of Mathematica and MATLAB’s automated time step when employing singularity functions. We have adjusted numerous explanations in response to students’ recommendations.
We have replaced the figure, altered the example, and revised Section 5.1 to improve clarity. While the problems remain essentially the same, they have undergone numerous alterations or modifications to enhance their self-containedness and incorporate new details.
We eliminated Section 5.8 (Active Vibration Suppression) and Section 5.9 (Practical Isolation Design), along with their respective issues, to accommodate additional content in the preceding chapters without increasing the book’s length. User surveys typically indicate that these sections receive little attention.
In Chapter 6, we have rewritten Section 6.8 for clarity and incorporated a window to summarize the modal analysis of the forced response. We have restated many prior problems for clarity and added new ones. Numerous examples have incorporated additional details. We have supplemented the text with numerous minor modifications to maximize clarity.
The only changes made to Chapters 7 and 8 were minor corrections and additions based on user recommendations.
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