## Energy Principles and Variational Methods in Applied MechanicsA systematic presentation of energy principles and variational methods The increasing use of numerical and computational methods in engineering and applied sciences has shed new light on the importance of energy principles and variational methods. Beginning with a review of the basic equations of mechanics and the concepts of work, energy, and topics from variational calculus, this book presents the virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. A unified approach, more general than that found in most solid mechanics books, is used to introduce the finite element method. Also discussed are applications to beams and plates. Complete with more than 200 illustrations and tables, |

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One of the very useful and well-organised books with mathematical concepts for those who wish to specialize in the field of mechanics

### Contents

MATHEMATICAL PRELIMINARIES | 8 |

ViM CONTENTS | 36 |

REVIEW OF EQUATIONS OF SOLID MECHANICS | 48 |

WORK ENERGY AND VARIATIONAL CALCULUS | 79 |

ENERGY PRINCIPLES OF STRUCTURAL MECHANICS | 133 |

HAMILTONS PRINCIPLE | 177 |

DIRECT VARIATIONAL METHODS | 204 |

References | 297 |

References | 430 |

499 | |

Stationary Variational Principles | 506 |

l The EulerBernoulli Beam Theory | 517 |

Closure | 539 |

ANSWERSSOLUTIONS TO SELECTED PROBLEMS | 544 |

583 | |