This article investigates the nonlinear vibration behavior of porous multidirectional piezoelectric functionally graded nonuniform(PFGN)plates resting on orthotropic variable elastic foundations and subjected to hygro...This article investigates the nonlinear vibration behavior of porous multidirectional piezoelectric functionally graded nonuniform(PFGN)plates resting on orthotropic variable elastic foundations and subjected to hygrothermal loading.The sigmoidal law is employed to define the multidirectional gradation properties,incorporating porosity along both the axial and thickness directions.The governing equations for the porous multidirectional PFGN plate are derived using the modified first-order shear deformation theory(FSDT)with nonlinear von Kármán strain and Hamilton's principle.A higher-order finite element(FE)approach,combined with a modified Newton-Raphson method,is utilized to solve the resulting equations.The study reveals that orthotropic variable elastic foundations significantly influence the vibration behavior of multidirectional PFGN porous plates compared to conventional elastic foundations under hygrothermal loading.Additionally,the effects of various parameters such as thickness ratio,tapered ratio,material exponent,boundary conditions,porosity distribution,electrical loading,temperature variation,and moisture change on the vibration behavior are comprehensively analyzed.The results of this study have direct applications in energy harvesting and structural health monitoring,offering a novel approach to designing and optimizing smart materials for engineering systems operating under hygrothermal and thermoelectrical conditions.展开更多
The State Council Information Office published on September 27, 2009, a white paper entitled China＇ s Policies toward Minorities and Common Prosperity and Development of All Nationalities. The white paper says that t...The State Council Information Office published on September 27, 2009, a white paper entitled China＇ s Policies toward Minorities and Common Prosperity and Development of All Nationalities. The white paper says that the policies well fit the national conditions and are correct. They are instrumental to promoting harmonious coexistence of all nationalities that work with one heart and one mind and in mutual cooperation; they have helped open up a good national situation characterized by economic development, political stability,展开更多
Based on the open stope method,the stability of the gob area was decided bypillars and stiff roof.Therefore,it was dispensable to leave pillars with long-term strengthand enough size to support the stiff roof during m...Based on the open stope method,the stability of the gob area was decided bypillars and stiff roof.Therefore,it was dispensable to leave pillars with long-term strengthand enough size to support the stiff roof during mining activities.Based on the miningconditions of Baixiang wollastonite mine in Changxing County of Zhejiang,while consideringpillars with different shape,irregular size,and distribution,the load imposed on the pillarswas analyzed,and the safety coefficient was calculated in order to determine theirsupport status.The strength of stiff roof was calculated by means of analytical solution-theory of rectangle thin plate rested on elastic foundation.The system stability ofpillar and stiff roof was analyzed according to the proportion of the total cross section areaof pillars to the stiff roof area above the mined area.展开更多
基金supported by King Mongkut's University of Technology Thonburi's Postdoctoral Fellowship Under Research Project ID-27929。
文摘This article investigates the nonlinear vibration behavior of porous multidirectional piezoelectric functionally graded nonuniform(PFGN)plates resting on orthotropic variable elastic foundations and subjected to hygrothermal loading.The sigmoidal law is employed to define the multidirectional gradation properties,incorporating porosity along both the axial and thickness directions.The governing equations for the porous multidirectional PFGN plate are derived using the modified first-order shear deformation theory(FSDT)with nonlinear von Kármán strain and Hamilton's principle.A higher-order finite element(FE)approach,combined with a modified Newton-Raphson method,is utilized to solve the resulting equations.The study reveals that orthotropic variable elastic foundations significantly influence the vibration behavior of multidirectional PFGN porous plates compared to conventional elastic foundations under hygrothermal loading.Additionally,the effects of various parameters such as thickness ratio,tapered ratio,material exponent,boundary conditions,porosity distribution,electrical loading,temperature variation,and moisture change on the vibration behavior are comprehensively analyzed.The results of this study have direct applications in energy harvesting and structural health monitoring,offering a novel approach to designing and optimizing smart materials for engineering systems operating under hygrothermal and thermoelectrical conditions.
文摘The State Council Information Office published on September 27, 2009, a white paper entitled China＇ s Policies toward Minorities and Common Prosperity and Development of All Nationalities. The white paper says that the policies well fit the national conditions and are correct. They are instrumental to promoting harmonious coexistence of all nationalities that work with one heart and one mind and in mutual cooperation; they have helped open up a good national situation characterized by economic development, political stability,
文摘Based on the open stope method,the stability of the gob area was decided bypillars and stiff roof.Therefore,it was dispensable to leave pillars with long-term strengthand enough size to support the stiff roof during mining activities.Based on the miningconditions of Baixiang wollastonite mine in Changxing County of Zhejiang,while consideringpillars with different shape,irregular size,and distribution,the load imposed on the pillarswas analyzed,and the safety coefficient was calculated in order to determine theirsupport status.The strength of stiff roof was calculated by means of analytical solution-theory of rectangle thin plate rested on elastic foundation.The system stability ofpillar and stiff roof was analyzed according to the proportion of the total cross section areaof pillars to the stiff roof area above the mined area.
