Energy principles in structural mechanics express the relationships between stresses, strains or deformations, displacements, material properties, and external effects in the form of energy or work done by internal and external forces. Since energy is a scalar quantity, these relationships provide convenient and alternative means for formulating the governing equations of deformable bodies in solid mechanics. They can also be used for obtaining approximate solutions of fairly complex systems, bypassing the difficult task of solving the set of governing partial differential equations.
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| - Energy principles in structural mechanics (en)
- Energia sprężystości (pl)
- Princípios energéticos em mecânica estrutural (pt)
- 结构力学中的能量原理 (zh)
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| - Energy principles in structural mechanics express the relationships between stresses, strains or deformations, displacements, material properties, and external effects in the form of energy or work done by internal and external forces. Since energy is a scalar quantity, these relationships provide convenient and alternative means for formulating the governing equations of deformable bodies in solid mechanics. They can also be used for obtaining approximate solutions of fairly complex systems, bypassing the difficult task of solving the set of governing partial differential equations. (en)
- Energia sprężystości (sprężysta) – energia nagromadzona w materiale w wyniku jego odkształceń. Jest funkcją tych odkształceń, choć może być wyrażana w zależności od naprężeń, właściwości materiału, przyłożonych sił.Zależności energii sprężystości od wyżej wspomnianych czynników w wielu metodach analiz wytrzymałościowych pozwalają rozwiązywać skomplikowane układy; są często wykorzystywane w metodach numerycznych. (pl)
- Os princípios energéticos em mecânica estrutural (em inglês: energy principles in structural mechanics) expressam as relações entre tensão, deformação, deslocamento, propriedades materiais e cargas externas, na forma de energia ou trabalho efetuado pelas forças internas e externas. Como energia é uma quantidade escalar, estas relações fornecem formas convenientes e alternativas para formular as equações governantes de corpos deformáveis em mecânica dos sólidos. Também podem ser usadas para obter soluções aproximadas de sistemas razoavelmente complexos, evitando a difícil tarefa de resolver um conjunto de equações diferenciais parciais. (pt)
- 结构力学中的能量原理是以内外力所作的功或能量的形式表达的各种关系式，包括应力、应变、位移、材料性质、外部载荷等不同量之间的关系。由于能量是标量，因而这些关系式为建立固体力学中变形体的控制方程提供了十分简便的方法。通过能量原理还能获得相对复杂系统的近似解，从而避免了去解复杂的偏微分方程形式的控制方程。 (zh)
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| - Energy principles in structural mechanics express the relationships between stresses, strains or deformations, displacements, material properties, and external effects in the form of energy or work done by internal and external forces. Since energy is a scalar quantity, these relationships provide convenient and alternative means for formulating the governing equations of deformable bodies in solid mechanics. They can also be used for obtaining approximate solutions of fairly complex systems, bypassing the difficult task of solving the set of governing partial differential equations. (en)
- Energia sprężystości (sprężysta) – energia nagromadzona w materiale w wyniku jego odkształceń. Jest funkcją tych odkształceń, choć może być wyrażana w zależności od naprężeń, właściwości materiału, przyłożonych sił.Zależności energii sprężystości od wyżej wspomnianych czynników w wielu metodach analiz wytrzymałościowych pozwalają rozwiązywać skomplikowane układy; są często wykorzystywane w metodach numerycznych. (pl)
- Os princípios energéticos em mecânica estrutural (em inglês: energy principles in structural mechanics) expressam as relações entre tensão, deformação, deslocamento, propriedades materiais e cargas externas, na forma de energia ou trabalho efetuado pelas forças internas e externas. Como energia é uma quantidade escalar, estas relações fornecem formas convenientes e alternativas para formular as equações governantes de corpos deformáveis em mecânica dos sólidos. Também podem ser usadas para obter soluções aproximadas de sistemas razoavelmente complexos, evitando a difícil tarefa de resolver um conjunto de equações diferenciais parciais. (pt)
- 结构力学中的能量原理是以内外力所作的功或能量的形式表达的各种关系式，包括应力、应变、位移、材料性质、外部载荷等不同量之间的关系。由于能量是标量，因而这些关系式为建立固体力学中变形体的控制方程提供了十分简便的方法。通过能量原理还能获得相对复杂系统的近似解，从而避免了去解复杂的偏微分方程形式的控制方程。 (zh)
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